Merge branch 'master' into feature/7120-control-themes

.editorconfig

@@ -21,7 +21,7 @@ csharp_new_line_before_finally = true
 csharp_new_line_before_members_in_object_initializers = true
 csharp_new_line_before_members_in_anonymous_types = true
 csharp_new_line_between_query_expression_clauses = true
-trim_trailing_whitespace = true
+# trim_trailing_whitespace = true
 
 # Indentation preferences
 csharp_indent_block_contents = true

native/Avalonia.Native/src/OSX/WindowBaseImpl.mm

@@ -224,7 +224,7 @@ HRESULT WindowBaseImpl::GetFrameSize(AvnSize *ret) {
         if (ret == nullptr)
             return E_POINTER;
 
-        if(Window != nullptr){
+        if(Window != nullptr && _shown){
             auto frame = [Window frame];
             ret->Width = frame.size.width;
             ret->Height = frame.size.height;

native/Avalonia.Native/src/OSX/WindowImpl.mm

@@ -119,13 +119,16 @@ void WindowImpl::BringToFront()
 {
     if(Window != nullptr)
     {
-        if(IsDialog())
+        if (![Window isMiniaturized])
         {
-            Activate();
+            if(IsDialog())
-        }
+            {
-        else
+                Activate();
-        {
+            }
-            [Window orderFront:nullptr];
+            else
+            {
+                [Window orderFront:nullptr];
+            }
         }
         
         [Window invalidateShadow];
@@ -488,6 +491,8 @@ HRESULT WindowImpl::SetWindowState(AvnWindowState state) {
         }
 
         if (_shown) {
+            _actualWindowState = _lastWindowState;
+
             switch (state) {
                 case Maximized:
                     if (currentState == FullScreen) {
@@ -545,7 +550,6 @@ HRESULT WindowImpl::SetWindowState(AvnWindowState state) {
                     break;
             }
 
-            _actualWindowState = _lastWindowState;
             WindowEvents->WindowStateChanged(_actualWindowState);
         }
 

samples/ControlCatalog.NetCore/Program.cs

@@ -115,7 +115,6 @@ namespace ControlCatalog.NetCore
                 })
                 .With(new Win32PlatformOptions
                 {
-                    EnableMultitouch = true
                 })
                 .UseSkia()
                 .AfterSetup(builder =>

samples/ControlCatalog/MainView.xaml

@@ -109,7 +109,7 @@
       <TabItem Header="OpenGL">
         <pages:OpenGlPage />
       </TabItem>
-      <TabItem Header="Pointers (Touch)">
+      <TabItem Header="Pointers">
         <pages:PointersPage />
       </TabItem>
       <TabItem Header="ProgressBar">

samples/ControlCatalog/Pages/PointerCanvas.cs

@@ -0,0 +1,235 @@
+#nullable enable
+using System;
+using System.Collections.Generic;
+using System.Diagnostics;
+using System.Threading;
+
+using Avalonia;
+using Avalonia.Controls;
+using Avalonia.Input;
+using Avalonia.Media;
+using Avalonia.Threading;
+
+namespace ControlCatalog.Pages;
+
+public class PointerCanvas : Control
+{
+    private readonly Stopwatch _stopwatch = Stopwatch.StartNew();
+    private int _events;
+    private IDisposable? _statusUpdated;
+    private Dictionary<int, PointerPoints> _pointers = new();
+    private PointerPointProperties? _lastProperties;
+    private PointerUpdateKind? _lastNonOtherUpdateKind;
+    class PointerPoints
+    {
+        struct CanvasPoint
+        {
+            public IBrush Brush;
+            public Point Point;
+            public double Radius;
+            public double? Pressure;
+        }
+
+        readonly CanvasPoint[] _points = new CanvasPoint[1000];
+        int _index;
+
+        public void Render(DrawingContext context, bool drawPoints)
+        {
+            CanvasPoint? prev = null;
+            for (var c = 0; c < _points.Length; c++)
+            {
+                var i = (c + _index) % _points.Length;
+                var pt = _points[i];
+                var pressure = (pt.Pressure ?? prev?.Pressure ?? 0.5);
+                var thickness = pressure * 10;
+                var radius = pressure * pt.Radius;
+
+                if (drawPoints)
+                {
+                    if (pt.Brush != null)
+                    {
+                        context.DrawEllipse(pt.Brush, null, pt.Point, radius, radius);
+                    }
+                }
+                else
+                {
+                    if (prev.HasValue && prev.Value.Brush != null && pt.Brush != null
+                        && prev.Value.Pressure != null && pt.Pressure != null)
+                    {
+                        var linePen = new Pen(Brushes.Black, thickness, null, PenLineCap.Round, PenLineJoin.Round);
+                        context.DrawLine(linePen, prev.Value.Point, pt.Point);
+                    }
+                }
+                prev = pt;
+            }
+
+        }
+
+        void AddPoint(Point pt, IBrush brush, double radius, float? pressure = null)
+        {
+            _points[_index] = new CanvasPoint { Point = pt, Brush = brush, Radius = radius, Pressure = pressure };
+            _index = (_index + 1) % _points.Length;
+        }
+
+        public void HandleEvent(PointerEventArgs e, Visual v)
+        {
+            e.Handled = true;
+            var currentPoint = e.GetCurrentPoint(v);
+            if (e.RoutedEvent == PointerPressedEvent)
+                AddPoint(currentPoint.Position, Brushes.Green, 10);
+            else if (e.RoutedEvent == PointerReleasedEvent)
+                AddPoint(currentPoint.Position, Brushes.Red, 10);
+            else
+            {
+                var pts = e.GetIntermediatePoints(v);
+                for (var c = 0; c < pts.Count; c++)
+                {
+                    var pt = pts[c];
+                    AddPoint(pt.Position, c == pts.Count - 1 ? Brushes.Blue : Brushes.Black,
+                        c == pts.Count - 1 ? 5 : 2, pt.Properties.Pressure);
+                }
+            }
+        }
+    }
+
+    private int _threadSleep;
+    public static DirectProperty<PointerCanvas, int> ThreadSleepProperty =
+        AvaloniaProperty.RegisterDirect<PointerCanvas, int>(nameof(ThreadSleep), c => c.ThreadSleep, (c, v) => c.ThreadSleep = v);
+
+    public int ThreadSleep
+    {
+        get => _threadSleep;
+        set => SetAndRaise(ThreadSleepProperty, ref _threadSleep, value);
+    }
+
+    private bool _drawOnlyPoints;
+    public static DirectProperty<PointerCanvas, bool> DrawOnlyPointsProperty =
+        AvaloniaProperty.RegisterDirect<PointerCanvas, bool>(nameof(DrawOnlyPoints), c => c.DrawOnlyPoints, (c, v) => c.DrawOnlyPoints = v);
+
+    public bool DrawOnlyPoints
+    {
+        get => _drawOnlyPoints;
+        set => SetAndRaise(DrawOnlyPointsProperty, ref _drawOnlyPoints, value);
+    }
+
+    private string? _status;
+    public static DirectProperty<PointerCanvas, string?> StatusProperty =
+        AvaloniaProperty.RegisterDirect<PointerCanvas, string?>(nameof(DrawOnlyPoints), c => c.Status, (c, v) => c.Status = v,
+            defaultBindingMode: Avalonia.Data.BindingMode.TwoWay);
+
+    public string? Status
+    {
+        get => _status;
+        set => SetAndRaise(StatusProperty, ref _status, value);
+    }
+
+    protected override void OnAttachedToVisualTree(VisualTreeAttachmentEventArgs e)
+    {
+        base.OnAttachedToVisualTree(e);
+
+        _statusUpdated = DispatcherTimer.Run(() =>
+        {
+            if (_stopwatch.Elapsed.TotalMilliseconds > 250)
+            {
+                Status = $@"Events per second: {(_events / _stopwatch.Elapsed.TotalSeconds)}
+PointerUpdateKind: {_lastProperties?.PointerUpdateKind}
+Last PointerUpdateKind != Other: {_lastNonOtherUpdateKind}
+IsLeftButtonPressed: {_lastProperties?.IsLeftButtonPressed}
+IsRightButtonPressed: {_lastProperties?.IsRightButtonPressed}
+IsMiddleButtonPressed: {_lastProperties?.IsMiddleButtonPressed}
+IsXButton1Pressed: {_lastProperties?.IsXButton1Pressed}
+IsXButton2Pressed: {_lastProperties?.IsXButton2Pressed}
+IsBarrelButtonPressed: {_lastProperties?.IsBarrelButtonPressed}
+IsEraser: {_lastProperties?.IsEraser}
+IsInverted: {_lastProperties?.IsInverted}
+Pressure: {_lastProperties?.Pressure}
+XTilt: {_lastProperties?.XTilt}
+YTilt: {_lastProperties?.YTilt}
+Twist: {_lastProperties?.Twist}";
+                _stopwatch.Restart();
+                _events = 0;
+            }
+
+            return true;
+        }, TimeSpan.FromMilliseconds(10));
+    }
+
+    protected override void OnDetachedFromVisualTree(VisualTreeAttachmentEventArgs e)
+    {
+        base.OnDetachedFromVisualTree(e);
+
+        _statusUpdated?.Dispose();
+    }
+
+    void HandleEvent(PointerEventArgs e)
+    {
+        _events++;
+
+        if (_threadSleep != 0)
+        {
+            Thread.Sleep(_threadSleep);
+        }
+        InvalidateVisual();
+
+        var lastPointer = e.GetCurrentPoint(this);
+        _lastProperties = lastPointer.Properties;
+
+        if (_lastProperties.PointerUpdateKind != PointerUpdateKind.Other)
+        {
+            _lastNonOtherUpdateKind = _lastProperties.PointerUpdateKind;
+        }
+
+        if (e.RoutedEvent == PointerReleasedEvent && e.Pointer.Type == PointerType.Touch)
+        {
+            _pointers.Remove(e.Pointer.Id);
+            return;
+        }
+
+        if (e.Pointer.Type != PointerType.Pen
+            || lastPointer.Properties.Pressure > 0)
+        {
+            if (!_pointers.TryGetValue(e.Pointer.Id, out var pt))
+                _pointers[e.Pointer.Id] = pt = new PointerPoints();
+            pt.HandleEvent(e, this);
+        }
+    }
+
+    public override void Render(DrawingContext context)
+    {
+        context.FillRectangle(Brushes.White, Bounds);
+        foreach (var pt in _pointers.Values)
+            pt.Render(context, _drawOnlyPoints);
+        base.Render(context);
+    }
+
+    protected override void OnPointerPressed(PointerPressedEventArgs e)
+    {
+        if (e.ClickCount == 2)
+        {
+            _pointers.Clear();
+            InvalidateVisual();
+            return;
+        }
+
+        HandleEvent(e);
+        base.OnPointerPressed(e);
+    }
+
+    protected override void OnPointerMoved(PointerEventArgs e)
+    {
+        HandleEvent(e);
+        base.OnPointerMoved(e);
+    }
+
+    protected override void OnPointerReleased(PointerReleasedEventArgs e)
+    {
+        HandleEvent(e);
+        base.OnPointerReleased(e);
+    }
+
+    protected override void OnPointerCaptureLost(PointerCaptureLostEventArgs e)
+    {
+        _lastProperties = null;
+        base.OnPointerCaptureLost(e);
+    }
+}

samples/ControlCatalog/Pages/PointerContactsTab.cs

@@ -0,0 +1,109 @@
+#nullable enable
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Reactive.Linq;
+
+using Avalonia;
+using Avalonia.Controls;
+using Avalonia.Input;
+using Avalonia.Media;
+using Avalonia.Media.Immutable;
+
+namespace ControlCatalog.Pages;
+
+public class PointerContactsTab : Control
+{
+    class PointerInfo
+    {
+        public Point Point { get; set; }
+        public Color Color { get; set; }
+    }
+
+    private static Color[] AllColors = new[]
+    {
+            Colors.Aqua,
+            Colors.Beige,
+            Colors.Chartreuse,
+            Colors.Coral,
+            Colors.Fuchsia,
+            Colors.Crimson,
+            Colors.Lavender,
+            Colors.Orange,
+            Colors.Orchid,
+            Colors.ForestGreen,
+            Colors.SteelBlue,
+            Colors.PapayaWhip,
+            Colors.PaleVioletRed,
+            Colors.Goldenrod,
+            Colors.Maroon,
+            Colors.Moccasin,
+            Colors.Navy,
+            Colors.Wheat,
+            Colors.Violet,
+            Colors.Sienna,
+            Colors.Indigo,
+            Colors.Honeydew
+        };
+
+    private Dictionary<IPointer, PointerInfo> _pointers = new Dictionary<IPointer, PointerInfo>();
+
+    public PointerContactsTab()
+    {
+        ClipToBounds = true;
+    }
+
+    void UpdatePointer(PointerEventArgs e)
+    {
+        if (!_pointers.TryGetValue(e.Pointer, out var info))
+        {
+            if (e.RoutedEvent == PointerMovedEvent)
+                return;
+            var colors = AllColors.Except(_pointers.Values.Select(c => c.Color)).ToArray();
+            var color = colors[new Random().Next(0, colors.Length - 1)];
+            _pointers[e.Pointer] = info = new PointerInfo { Color = color };
+        }
+
+        info.Point = e.GetPosition(this);
+        InvalidateVisual();
+    }
+
+    protected override void OnPointerPressed(PointerPressedEventArgs e)
+    {
+        UpdatePointer(e);
+        e.Pointer.Capture(this);
+        e.Handled = true;
+        base.OnPointerPressed(e);
+    }
+
+    protected override void OnPointerMoved(PointerEventArgs e)
+    {
+        UpdatePointer(e);
+        e.Handled = true;
+        base.OnPointerMoved(e);
+    }
+
+    protected override void OnPointerReleased(PointerReleasedEventArgs e)
+    {
+        _pointers.Remove(e.Pointer);
+        e.Handled = true;
+        InvalidateVisual();
+    }
+
+    protected override void OnPointerCaptureLost(PointerCaptureLostEventArgs e)
+    {
+        _pointers.Remove(e.Pointer);
+        InvalidateVisual();
+    }
+
+    public override void Render(DrawingContext context)
+    {
+        context.FillRectangle(Brushes.Transparent, new Rect(default, Bounds.Size));
+        foreach (var pt in _pointers.Values)
+        {
+            var brush = new ImmutableSolidColorBrush(pt.Color);
+
+            context.DrawEllipse(brush, null, pt.Point, 75, 75);
+        }
+    }
+}

samples/ControlCatalog/Pages/PointersPage.cs

@@ -1,322 +0,0 @@
-using System;
-using System.Collections.Generic;
-using System.Diagnostics;
-using System.Linq;
-using System.Reactive.Linq;
-using System.Runtime.InteropServices;
-using System.Threading;
-using Avalonia;
-using Avalonia.Controls;
-using Avalonia.Controls.Documents;
-using Avalonia.Input;
-using Avalonia.Layout;
-using Avalonia.Media;
-using Avalonia.Media.Immutable;
-using Avalonia.Threading;
-using Avalonia.VisualTree;
-
-namespace ControlCatalog.Pages;
-
-public class PointersPage : Decorator
-{
-    public PointersPage()
-    {
-        Child = new TabControl
-        {
-            Items = new[]
-            {
-                new TabItem() { Header = "Contacts", Content = new PointerContactsTab() },
-                new TabItem() { Header = "IntermediatePoints", Content = new PointerIntermediatePointsTab() }
-            }
-        };
-    }
-    
-    
-    class PointerContactsTab : Control
-    {
-        class PointerInfo
-        {
-            public Point Point { get; set; }
-            public Color Color { get; set; }
-        }
-
-        private static Color[] AllColors = new[]
-        {
-            Colors.Aqua,
-            Colors.Beige, 
-            Colors.Chartreuse, 
-            Colors.Coral,
-            Colors.Fuchsia,
-            Colors.Crimson,
-            Colors.Lavender, 
-            Colors.Orange,
-            Colors.Orchid,
-            Colors.ForestGreen,
-            Colors.SteelBlue,
-            Colors.PapayaWhip,
-            Colors.PaleVioletRed,
-            Colors.Goldenrod,
-            Colors.Maroon,
-            Colors.Moccasin,
-            Colors.Navy,
-            Colors.Wheat,
-            Colors.Violet,
-            Colors.Sienna,
-            Colors.Indigo,
-            Colors.Honeydew
-        };
-        
-        private Dictionary<IPointer, PointerInfo> _pointers = new Dictionary<IPointer, PointerInfo>();
-
-        public PointerContactsTab()
-        {
-            ClipToBounds = true;
-        }
-        
-        void UpdatePointer(PointerEventArgs e)
-        {
-            if (!_pointers.TryGetValue(e.Pointer, out var info))
-            {
-                if (e.RoutedEvent == PointerMovedEvent)
-                    return;
-                var colors = AllColors.Except(_pointers.Values.Select(c => c.Color)).ToArray();
-                var color = colors[new Random().Next(0, colors.Length - 1)];
-                _pointers[e.Pointer] = info = new PointerInfo {Color = color};
-            }
-
-            info.Point = e.GetPosition(this);
-            InvalidateVisual();
-        }
-        
-        protected override void OnPointerPressed(PointerPressedEventArgs e)
-        {
-            UpdatePointer(e);
-            e.Pointer.Capture(this);
-            e.Handled = true;
-            base.OnPointerPressed(e);
-        }
-
-        protected override void OnPointerMoved(PointerEventArgs e)
-        {
-            UpdatePointer(e);
-            e.Handled = true;
-            base.OnPointerMoved(e);
-        }
-
-        protected override void OnPointerReleased(PointerReleasedEventArgs e)
-        {
-            _pointers.Remove(e.Pointer);
-            e.Handled = true;
-            InvalidateVisual();
-        }
-
-        protected override void OnPointerCaptureLost(PointerCaptureLostEventArgs e)
-        {
-            _pointers.Remove(e.Pointer);
-            InvalidateVisual();
-        }
-
-        public override void Render(DrawingContext context)
-        {
-            context.FillRectangle(Brushes.Transparent, new Rect(default, Bounds.Size));
-            foreach (var pt in _pointers.Values)
-            {
-                var brush = new ImmutableSolidColorBrush(pt.Color);
-
-                context.DrawEllipse(brush, null, pt.Point, 75, 75);
-            }
-        }
-    }
-
-    public class PointerIntermediatePointsTab : Decorator
-    {
-        public PointerIntermediatePointsTab()
-        {
-            this[TextElement.ForegroundProperty] = Brushes.Black;
-            var slider = new Slider
-            {
-                Margin = new Thickness(5),
-                Minimum = 0,
-                Maximum = 500
-            };
-
-            var status = new TextBlock()
-            {
-                HorizontalAlignment = HorizontalAlignment.Left,
-                VerticalAlignment = VerticalAlignment.Top,
-            };
-            Child = new Grid
-            {
-                Children =
-                {
-                    new PointerCanvas(slider, status),
-                    new Border
-                    {
-                        Background = Brushes.LightYellow,
-                        Child = new StackPanel
-                        {
-                            Children =
-                            {
-                                new StackPanel
-                                {
-                                    Orientation = Orientation.Horizontal,
-                                    Children =
-                                    {
-                                        new TextBlock { Text = "Thread sleep:" },
-                                        new TextBlock()
-                                        {
-                                            [!TextBlock.TextProperty] =slider.GetObservable(Slider.ValueProperty)
-                                                .Select(x=>x.ToString()).ToBinding()
-                                        }
-                                    }
-                                },
-                                slider
-                            }
-                        },
-
-                        HorizontalAlignment = HorizontalAlignment.Right,
-                        VerticalAlignment = VerticalAlignment.Top,
-                        Width = 300,
-                        Height = 60
-                    },
-                    status
-                }
-            };
-        }
-
-        class PointerCanvas : Control
-        {
-            private readonly Slider _slider;
-            private readonly TextBlock _status;
-            private int _events;
-            private Stopwatch _stopwatch = Stopwatch.StartNew();
-            private Dictionary<int, PointerPoints> _pointers = new();
-            class PointerPoints
-            {
-                struct CanvasPoint
-                {
-                    public IBrush Brush;
-                    public Point Point;
-                    public double Radius;
-                }
-
-                readonly CanvasPoint[] _points = new CanvasPoint[1000];
-                int _index;
-                
-                public  void Render(DrawingContext context)
-                {
-                    
-                    CanvasPoint? prev = null;
-                    for (var c = 0; c < _points.Length; c++)
-                    {
-                        var i = (c + _index) % _points.Length;
-                        var pt = _points[i];
-                        if (prev.HasValue && prev.Value.Brush != null && pt.Brush != null)
-                            context.DrawLine(new Pen(Brushes.Black), prev.Value.Point, pt.Point);
-                        prev = pt;
-                        if (pt.Brush != null)
-                            context.DrawEllipse(pt.Brush, null, pt.Point, pt.Radius, pt.Radius);
-
-                    }
-
-                }
-
-                void AddPoint(Point pt, IBrush brush, double radius)
-                {
-                    _points[_index] = new CanvasPoint { Point = pt, Brush = brush, Radius = radius };
-                    _index = (_index + 1) % _points.Length;
-                }
-
-                public void HandleEvent(PointerEventArgs e, Visual v)
-                {
-                    e.Handled = true;
-                    if (e.RoutedEvent == PointerPressedEvent)
-                        AddPoint(e.GetPosition(v), Brushes.Green, 10);
-                    else if (e.RoutedEvent == PointerReleasedEvent)
-                        AddPoint(e.GetPosition(v), Brushes.Red, 10);
-                    else
-                    {
-                        var pts = e.GetIntermediatePoints(v);
-                        for (var c = 0; c < pts.Count; c++)
-                        {
-                            var pt = pts[c];
-                            AddPoint(pt.Position, c == pts.Count - 1 ? Brushes.Blue : Brushes.Black,
-                                c == pts.Count - 1 ? 5 : 2);
-                        }
-                    }
-                }
-            }
-            
-            public PointerCanvas(Slider slider, TextBlock status)
-            {
-                _slider = slider;
-                _status = status;
-                DispatcherTimer.Run(() =>
-                {
-                    if (_stopwatch.Elapsed.TotalSeconds > 1)
-                    {
-                        _status.Text = "Events per second: " + (_events / _stopwatch.Elapsed.TotalSeconds);
-                        _stopwatch.Restart();
-                        _events = 0;
-                    }
-
-                    return this.GetVisualRoot() != null;
-                }, TimeSpan.FromMilliseconds(10));
-            }
-
-
-            void HandleEvent(PointerEventArgs e)
-            {
-                _events++;
-                Thread.Sleep((int)_slider.Value);
-                InvalidateVisual();
-
-                if (e.RoutedEvent == PointerReleasedEvent && e.Pointer.Type == PointerType.Touch)
-                {
-                    _pointers.Remove(e.Pointer.Id);
-                    return;
-                }
-
-                if (!_pointers.TryGetValue(e.Pointer.Id, out var pt))
-                    _pointers[e.Pointer.Id] = pt = new PointerPoints();
-                pt.HandleEvent(e, this);
-                
-                
-            }
-            
-            public override void Render(DrawingContext context)
-            {
-                context.FillRectangle(Brushes.White, Bounds);
-                foreach(var pt in _pointers.Values)
-                    pt.Render(context);
-                base.Render(context);
-            }
-
-            protected override void OnPointerPressed(PointerPressedEventArgs e)
-            {
-                if (e.ClickCount == 2)
-                {
-                    _pointers.Clear();
-                    InvalidateVisual();
-                    return;
-                }
-                
-                HandleEvent(e);
-                base.OnPointerPressed(e);
-            }
-
-            protected override void OnPointerMoved(PointerEventArgs e)
-            {
-                HandleEvent(e);
-                base.OnPointerMoved(e);
-            }
-
-            protected override void OnPointerReleased(PointerReleasedEventArgs e)
-            {
-                HandleEvent(e);
-                base.OnPointerReleased(e);
-            }
-        }
-    
-    }
-}

samples/ControlCatalog/Pages/PointersPage.xaml

@@ -0,0 +1,66 @@
+<UserControl x:Class="ControlCatalog.Pages.PointersPage"
+             xmlns="https://github.com/avaloniaui"
+             xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
+             xmlns:local="using:ControlCatalog.Pages">
+  <TabControl>
+    <TabItem Header="Contacts">
+      <local:PointerContactsTab />
+    </TabItem>
+    <TabItem Header="IntermediatePoints">
+      <Panel TextElement.Foreground="Black">
+        <local:PointerCanvas x:Name="IntermediatePointsCanvas"
+                             DrawOnlyPoints="True"
+                             Status="{Binding #Status1TextBlock.Text, Mode=OneWayToSource}"
+                             ThreadSleep="{Binding #ThreadSleepSlider.Value}" />
+        <Border Width="300"
+                Height="60"
+                HorizontalAlignment="Right"
+                VerticalAlignment="Top">
+          <StackPanel Background="LightYellow">
+            <TextBlock Text="{Binding #ThreadSleepSlider.Value, StringFormat='Thread sleep: {0} / 500'}" />
+            <Slider x:Name="ThreadSleepSlider"
+                    Value="50"
+                    Maximum="500"
+                    Minimum="0" />
+          </StackPanel>
+        </Border>
+        <TextBlock x:Name="Status1TextBlock"
+                   HorizontalAlignment="Left"
+                   VerticalAlignment="Top" />
+      </Panel>
+    </TabItem>
+    <TabItem Header="Pressure">
+      <Panel TextElement.Foreground="Black">
+        <local:PointerCanvas x:Name="PressureCanvas"
+                             DrawOnlyPoints="False"
+                             Status="{Binding #Status2TextBlock.Text, Mode=OneWayToSource}"
+                             ThreadSleep="0" />
+        <TextBlock x:Name="Status2TextBlock"
+                   HorizontalAlignment="Left"
+                   VerticalAlignment="Top" />
+      </Panel>
+    </TabItem>
+    <TabItem Header="Capture">
+      <WrapPanel>
+        <Border Name="BorderCapture1"
+                MinWidth="250"
+                MinHeight="170"
+                Margin="5"
+                Padding="50"
+                Background="{DynamicResource SystemAccentColor}"
+                ToolTip.Placement="Bottom">
+          <TextBlock>Capture 1</TextBlock>
+        </Border>
+        <Border Name="BorderCapture2"
+                MinWidth="250"
+                MinHeight="170"
+                Margin="5"
+                Padding="50"
+                Background="{DynamicResource SystemAccentColor}"
+                ToolTip.Placement="Bottom">
+          <TextBlock>Capture 2</TextBlock>
+        </Border>
+      </WrapPanel>
+    </TabItem>
+  </TabControl>
+</UserControl>

samples/ControlCatalog/Pages/PointersPage.xaml.cs

@@ -0,0 +1,78 @@
+using System;
+using Avalonia;
+using Avalonia.Controls;
+using Avalonia.Input;
+using Avalonia.Interactivity;
+using Avalonia.Markup.Xaml;
+
+namespace ControlCatalog.Pages;
+
+public class PointersPage : UserControl
+{
+    public PointersPage()
+    {
+        this.InitializeComponent();
+
+        var border1 = this.Get<Border>("BorderCapture1");
+        var border2 = this.Get<Border>("BorderCapture2");
+
+        border1.PointerPressed += Border_PointerPressed;
+        border1.PointerReleased += Border_PointerReleased;
+        border1.PointerCaptureLost += Border_PointerCaptureLost;
+        border1.PointerMoved += Border_PointerUpdated;
+        border1.PointerEntered += Border_PointerUpdated;
+        border1.PointerExited += Border_PointerUpdated;
+
+        border2.PointerPressed += Border_PointerPressed;
+        border2.PointerReleased += Border_PointerReleased;
+        border2.PointerCaptureLost += Border_PointerCaptureLost;
+        border2.PointerMoved += Border_PointerUpdated;
+        border2.PointerEntered += Border_PointerUpdated;
+        border2.PointerExited += Border_PointerUpdated;
+    }
+
+    private void Border_PointerUpdated(object sender, PointerEventArgs e)
+    {
+        var textBlock = (TextBlock)((Border)sender).Child;
+        var position = e.GetPosition((Border)sender);
+        textBlock.Text = @$"Type: {e.Pointer.Type}
+Captured: {e.Pointer.Captured == sender}
+PointerId: {e.Pointer.Id}
+Position: {(int)position.X} {(int)position.Y}";
+        e.Handled = true;
+    }
+
+    private void Border_PointerCaptureLost(object sender, PointerCaptureLostEventArgs e)
+    {
+        var textBlock = (TextBlock)((Border)sender).Child;
+        textBlock.Text = @$"Type: {e.Pointer.Type}
+Captured: {e.Pointer.Captured == sender}
+PointerId: {e.Pointer.Id}
+Position: ??? ???";
+        e.Handled = true;
+    }
+
+    private void Border_PointerReleased(object sender, PointerReleasedEventArgs e)
+    {
+        if (e.Pointer.Captured == sender)
+        {
+            e.Pointer.Capture(null);
+            e.Handled = true;
+        }
+        else
+        {
+            throw new InvalidOperationException("How?");
+        }
+    }
+
+    private void Border_PointerPressed(object sender, PointerPressedEventArgs e)
+    {
+        e.Pointer.Capture((Border)sender);
+        e.Handled = true;
+    }
+
+    private void InitializeComponent()
+    {
+        AvaloniaXamlLoader.Load(this);
+    }
+}

samples/IntegrationTestApp/MainWindow.axaml

@@ -4,6 +4,7 @@
         xmlns:mc="http://schemas.openxmlformats.org/markup-compatibility/2006"
         mc:Ignorable="d" d:DesignWidth="800" d:DesignHeight="450"
         x:Class="IntegrationTestApp.MainWindow"
+        Name="MainWindow"
         Title="IntegrationTestApp">
   <NativeMenu.Menu>
     <NativeMenu>
@@ -94,6 +95,26 @@
           </StackPanel>
         </DockPanel>
       </TabItem>
+      
+      <TabItem Header="Window">
+        <StackPanel>
+          <TextBox Name="ShowWindowSize" Watermark="Window Size"/>
+          <ComboBox Name="ShowWindowMode" SelectedIndex="0">
+            <ComboBoxItem>NonOwned</ComboBoxItem>
+            <ComboBoxItem>Owned</ComboBoxItem>
+            <ComboBoxItem>Modal</ComboBoxItem>
+          </ComboBox>
+          <ComboBox Name="ShowWindowLocation" SelectedIndex="0">
+            <ComboBoxItem>Manual</ComboBoxItem>
+            <ComboBoxItem>CenterScreen</ComboBoxItem>
+            <ComboBoxItem>CenterOwner</ComboBoxItem>
+          </ComboBox>
+          <Button Name="ShowWindow">Show Window</Button>
+          <Button Name="SendToBack">Send to Back</Button>
+          <Button Name="ExitFullscreen">Exit Fullscreen</Button>
+          <Button Name="RestoreAll">Restore All</Button>
+        </StackPanel>
+      </TabItem>
     </TabControl>
   </DockPanel>
 </Window>

samples/IntegrationTestApp/MainWindow.axaml.cs

@@ -3,8 +3,10 @@ using System.Collections.Generic;
 using System.Linq;
 using Avalonia;
 using Avalonia.Controls;
+using Avalonia.Controls.ApplicationLifetimes;
 using Avalonia.Interactivity;
 using Avalonia.Markup.Xaml;
+using Avalonia.VisualTree;
 
 namespace IntegrationTestApp
 {
@@ -46,6 +48,62 @@ namespace IntegrationTestApp
             }
         }
 
+        private void ShowWindow()
+        {
+            var sizeTextBox = this.GetControl<TextBox>("ShowWindowSize");
+            var modeComboBox = this.GetControl<ComboBox>("ShowWindowMode");
+            var locationComboBox = this.GetControl<ComboBox>("ShowWindowLocation");
+            var size = !string.IsNullOrWhiteSpace(sizeTextBox.Text) ? Size.Parse(sizeTextBox.Text) : (Size?)null;
+            var owner = (Window)this.GetVisualRoot()!;
+
+            var window = new ShowWindowTest
+            {
+                WindowStartupLocation = (WindowStartupLocation)locationComboBox.SelectedIndex,
+            };
+
+            if (size.HasValue)
+            {
+                window.Width = size.Value.Width;
+                window.Height = size.Value.Height;
+            }
+
+            sizeTextBox.Text = string.Empty;
+
+            switch (modeComboBox.SelectedIndex)
+            {
+                case 0:
+                    window.Show();
+                    break;
+                case 1:
+                    window.Show(owner);
+                    break;
+                case 2:
+                    window.ShowDialog(owner);
+                    break;
+            }
+        }
+
+        private void SendToBack()
+        {
+            var lifetime = (ClassicDesktopStyleApplicationLifetime)Application.Current!.ApplicationLifetime!;
+
+            foreach (var window in lifetime.Windows)
+            {
+                window.Activate();
+            }
+        }
+
+        private void RestoreAll()
+        {
+            var lifetime = (ClassicDesktopStyleApplicationLifetime)Application.Current!.ApplicationLifetime!;
+
+            foreach (var window in lifetime.Windows)
+            {
+                if (window.WindowState == WindowState.Minimized)
+                    window.WindowState = WindowState.Normal;
+            }
+        }
+
         private void MenuClicked(object? sender, RoutedEventArgs e)
         {
             var clickedMenuItemTextBlock = this.FindControl<TextBlock>("ClickedMenuItem");
@@ -64,6 +122,14 @@ namespace IntegrationTestApp
                 this.FindControl<ListBox>("BasicListBox").SelectedIndex = -1;
             if (source?.Name == "MenuClickedMenuItemReset")
                 this.FindControl<TextBlock>("ClickedMenuItem").Text = "None";
+            if (source?.Name == "ShowWindow")
+                ShowWindow();
+            if (source?.Name == "SendToBack")
+                SendToBack();
+            if (source?.Name == "ExitFullscreen")
+                WindowState = WindowState.Normal;
+            if (source?.Name == "RestoreAll")
+                RestoreAll();
         }
     }
 }

samples/IntegrationTestApp/ShowWindowTest.axaml

@@ -0,0 +1,35 @@
+<Window xmlns="https://github.com/avaloniaui"
+        xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
+        x:Class="IntegrationTestApp.ShowWindowTest"
+        Name="SecondaryWindow"
+        Title="Show Window Test">
+  <Grid ColumnDefinitions="Auto,Auto" RowDefinitions="Auto,Auto,Auto,Auto,Auto,Auto,Auto,Auto">
+    <Label Grid.Column="0" Grid.Row="1">Client Size</Label>
+    <TextBox Name="ClientSize" Grid.Column="1" Grid.Row="1" IsReadOnly="True"
+             Text="{Binding ClientSize, Mode=OneWay}"/>
+    
+    <Label Grid.Column="0" Grid.Row="2">Frame Size</Label>
+    <TextBox Name="FrameSize" Grid.Column="1" Grid.Row="2" IsReadOnly="True"
+             Text="{Binding FrameSize, Mode=OneWay}"/>
+
+    <Label Grid.Column="0" Grid.Row="3">Position</Label>
+    <TextBox Name="Position" Grid.Column="1" Grid.Row="3" IsReadOnly="True"/>
+
+    <Label Grid.Column="0" Grid.Row="4">Owner Rect</Label>
+    <TextBox Name="OwnerRect" Grid.Column="1" Grid.Row="4" IsReadOnly="True"/>
+    
+    <Label Grid.Column="0" Grid.Row="5">Screen Rect</Label>
+    <TextBox Name="ScreenRect" Grid.Column="1" Grid.Row="5" IsReadOnly="True"/>
+
+    <Label Grid.Column="0" Grid.Row="6">Scaling</Label>
+    <TextBox Name="Scaling" Grid.Column="1" Grid.Row="6" IsReadOnly="True"/>
+    
+    <Label Grid.Column="0" Grid.Row="7">WindowState</Label>
+    <ComboBox Name="WindowState" Grid.Column="1" Grid.Row="7" SelectedIndex="{Binding WindowState}">
+      <ComboBoxItem>Normal</ComboBoxItem>
+      <ComboBoxItem>Minimized</ComboBoxItem>
+      <ComboBoxItem>Maximized</ComboBoxItem>
+      <ComboBoxItem>Fullscreen</ComboBoxItem>
+    </ComboBox>
+  </Grid>
+</Window>

samples/IntegrationTestApp/ShowWindowTest.axaml.cs

@@ -0,0 +1,40 @@
+using System;
+using Avalonia;
+using Avalonia.Controls;
+using Avalonia.Interactivity;
+using Avalonia.Markup.Xaml;
+using Avalonia.Rendering;
+
+namespace IntegrationTestApp
+{
+    public class ShowWindowTest : Window
+    {
+        public ShowWindowTest()
+        {
+            InitializeComponent();
+            DataContext = this;
+            PositionChanged += (s, e) => this.GetControl<TextBox>("Position").Text = $"{Position}";
+        }
+
+        private void InitializeComponent()
+        {
+            AvaloniaXamlLoader.Load(this);
+        }
+
+        protected override void OnOpened(EventArgs e)
+        {
+            base.OnOpened(e);
+            var scaling = PlatformImpl!.DesktopScaling;
+            this.GetControl<TextBox>("Position").Text = $"{Position}";
+            this.GetControl<TextBox>("ScreenRect").Text = $"{Screens.ScreenFromVisual(this)?.WorkingArea}";
+            this.GetControl<TextBox>("Scaling").Text = $"{scaling}";
+
+            if (Owner is not null)
+            {
+                var ownerRect = this.GetControl<TextBox>("OwnerRect");
+                var owner = (Window)Owner;
+                ownerRect.Text = $"{owner.Position}, {PixelSize.FromSize(owner.FrameSize!.Value, scaling)}";
+            }
+        }
+    }
+}

src/Avalonia.Base/AvaloniaObject.cs

@@ -935,7 +935,8 @@ namespace Avalonia
 
             public void Dispose()
             {
-                _subscription.Dispose();
+                // _subscription can be null, if Subscribe failed with an exception.
+                _subscription?.Dispose();
                 _owner._directBindings!.Remove(this);
             }
 

src/Avalonia.Base/Controls/ResourceDictionary.cs

@@ -1,38 +1,45 @@
 using System;
+using System.Collections;
 using System.Collections.Generic;
-using System.Collections.Specialized;
+using System.Linq;
 using Avalonia.Collections;
-using Avalonia.Metadata;
-
-#nullable enable
 
 namespace Avalonia.Controls
 {
     /// <summary>
     /// An indexed dictionary of resources.
     /// </summary>
-    public class ResourceDictionary : AvaloniaDictionary<object, object?>, IResourceDictionary
+    public class ResourceDictionary : IResourceDictionary
     {
+        private Dictionary<object, object?>? _inner;
         private IResourceHost? _owner;
         private AvaloniaList<IResourceProvider>? _mergedDictionaries;
 
         /// <summary>
         /// Initializes a new instance of the <see cref="ResourceDictionary"/> class.
         /// </summary>
-        public ResourceDictionary()
+        public ResourceDictionary() { }
-        {
-            CollectionChanged += OnCollectionChanged;
-        }
 
         /// <summary>
         /// Initializes a new instance of the <see cref="ResourceDictionary"/> class.
         /// </summary>
-        public ResourceDictionary(IResourceHost owner)
+        public ResourceDictionary(IResourceHost owner) => Owner = owner;
-            : this()
+
+        public int Count => _inner?.Count ?? 0;
+
+        public object? this[object key]
         {
-            Owner = owner;
+            get => _inner?[key];
+            set
+            {
+                Inner[key] = value;
+                Owner?.NotifyHostedResourcesChanged(ResourcesChangedEventArgs.Empty);
+            }
         }
 
+        public ICollection<object> Keys => (ICollection<object>?)_inner?.Keys ?? Array.Empty<object>();
+        public ICollection<object?> Values => (ICollection<object?>?)_inner?.Values ?? Array.Empty<object?>();
+
         public IResourceHost? Owner
         {
             get => _owner;
@@ -80,7 +87,7 @@ namespace Avalonia.Controls
         {
             get
             {
-                if (Count > 0)
+                if (_inner?.Count > 0)
                 {
                     return true;
                 }
@@ -100,11 +107,43 @@ namespace Avalonia.Controls
             }
         }
 
+        bool ICollection<KeyValuePair<object, object?>>.IsReadOnly => false;
+
+        private Dictionary<object, object?> Inner => _inner ??= new();
+
         public event EventHandler? OwnerChanged;
 
+        public void Add(object key, object? value)
+        {
+            Inner.Add(key, value);
+            Owner?.NotifyHostedResourcesChanged(ResourcesChangedEventArgs.Empty);
+        }
+
+        public void Clear()
+        {
+            if (_inner?.Count > 0)
+            {
+                _inner.Clear();
+                Owner?.NotifyHostedResourcesChanged(ResourcesChangedEventArgs.Empty);
+            }
+        }
+
+        public bool ContainsKey(object key) => _inner?.ContainsKey(key) ?? false;
+
+        public bool Remove(object key)
+        {
+            if (_inner?.Remove(key) == true)
+            {
+                Owner?.NotifyHostedResourcesChanged(ResourcesChangedEventArgs.Empty);
+                return true;
+            }
+
+            return false;
+        }
+
         public bool TryGetResource(object key, out object? value)
         {
-            if (TryGetValue(key, out value))
+            if (_inner is not null && _inner.TryGetValue(key, out value))
             {
                 return true;
             }
@@ -120,9 +159,52 @@ namespace Avalonia.Controls
                 }
             }
 
+            value = null;
             return false;
         }
 
+        public bool TryGetValue(object key, out object? value)
+        {
+            if (_inner is not null)
+                return _inner.TryGetValue(key, out value);
+            value = null;
+            return false;
+        }
+
+
+        void ICollection<KeyValuePair<object, object?>>.Add(KeyValuePair<object, object?> item)
+        {
+            Add(item.Key, item.Value);
+        }
+
+        bool ICollection<KeyValuePair<object, object?>>.Contains(KeyValuePair<object, object?> item)
+        {
+            return (_inner as ICollection<KeyValuePair<object, object?>>)?.Contains(item) ?? false;
+        }
+
+        void ICollection<KeyValuePair<object, object?>>.CopyTo(KeyValuePair<object, object?>[] array, int arrayIndex)
+        {
+            (_inner as ICollection<KeyValuePair<object, object?>>)?.CopyTo(array, arrayIndex);
+        }
+
+        bool ICollection<KeyValuePair<object, object?>>.Remove(KeyValuePair<object, object?> item)
+        {
+            if ((_inner as ICollection<KeyValuePair<object, object?>>)?.Remove(item) == true)
+            {
+                Owner?.NotifyHostedResourcesChanged(ResourcesChangedEventArgs.Empty);
+                return true;
+            }
+
+            return false;
+        }
+
+        public IEnumerator<KeyValuePair<object, object?>> GetEnumerator()
+        {
+            return _inner?.GetEnumerator() ?? Enumerable.Empty<KeyValuePair<object, object?>>().GetEnumerator();
+        }
+
+        IEnumerator IEnumerable.GetEnumerator() => GetEnumerator();
+
         void IResourceProvider.AddOwner(IResourceHost owner)
         {
             owner = owner ?? throw new ArgumentNullException(nameof(owner));
@@ -134,7 +216,7 @@ namespace Avalonia.Controls
             
             Owner = owner;
 
-            var hasResources = Count > 0;
+            var hasResources = _inner?.Count > 0;
             
             if (_mergedDictionaries is object)
             {
@@ -159,7 +241,7 @@ namespace Avalonia.Controls
             {
                 Owner = null;
 
-                var hasResources = Count > 0;
+                var hasResources = _inner?.Count > 0;
 
                 if (_mergedDictionaries is object)
                 {
@@ -176,10 +258,5 @@ namespace Avalonia.Controls
                 }
             }
         }
-
-        private void OnCollectionChanged(object? sender, NotifyCollectionChangedEventArgs e)
-        {
-            Owner?.NotifyHostedResourcesChanged(ResourcesChangedEventArgs.Empty);
-        }
     }
 }

src/Avalonia.Base/Input/GestureRecognizers/ScrollGestureRecognizer.cs

@@ -66,7 +66,8 @@ namespace Avalonia.Input.GestureRecognizers
         
         public void PointerPressed(PointerPressedEventArgs e)
         {
-            if (e.Pointer.IsPrimary && e.Pointer.Type == PointerType.Touch)
+            if (e.Pointer.IsPrimary && 
+                (e.Pointer.Type == PointerType.Touch || e.Pointer.Type == PointerType.Pen))
             {
                 EndGesture();
                 _tracking = e.Pointer;
@@ -101,7 +102,7 @@ namespace Avalonia.Input.GestureRecognizers
                 if (_scrolling)
                 {
                     var vector = _trackedRootPoint - rootPoint;
-                    var elapsed = _lastMoveTimestamp.HasValue ?
+                    var elapsed = _lastMoveTimestamp.HasValue && _lastMoveTimestamp < e.Timestamp ?
                         TimeSpan.FromMilliseconds(e.Timestamp - _lastMoveTimestamp.Value) :
                         TimeSpan.Zero;
                     

src/Avalonia.Base/Input/IInputElement.cs

@@ -42,12 +42,12 @@ namespace Avalonia.Input
         /// <summary>
         /// Occurs when the pointer enters the control.
         /// </summary>
-        event EventHandler<PointerEventArgs>? PointerEnter;
+        event EventHandler<PointerEventArgs>? PointerEntered;
 
         /// <summary>
         /// Occurs when the pointer leaves the control.
         /// </summary>
-        event EventHandler<PointerEventArgs>? PointerLeave;
+        event EventHandler<PointerEventArgs>? PointerExited;
 
         /// <summary>
         /// Occurs when the pointer is pressed over the control.

src/Avalonia.Base/Input/IKeyboardDevice.cs

@@ -43,12 +43,17 @@ namespace Avalonia.Input
         Control = 2,
         Shift = 4,
         Meta = 8,
+
         LeftMouseButton = 16,
         RightMouseButton = 32,
         MiddleMouseButton = 64,
         XButton1MouseButton = 128,
         XButton2MouseButton = 256,
-        KeyboardMask = Alt | Control | Shift | Meta
+        KeyboardMask = Alt | Control | Shift | Meta,
+
+        PenInverted = 512,
+        PenEraser = 1024,
+        PenBarrelButton = 2048
     }
 
     [NotClientImplementable]

src/Avalonia.Base/Input/IPenDevice.cs

@@ -0,0 +1,10 @@
+namespace Avalonia.Input
+{
+    /// <summary>
+    /// Represents a pen/stylus device.
+    /// </summary>
+    public interface IPenDevice : IPointerDevice
+    {
+
+    }
+}

src/Avalonia.Base/Input/IPointer.cs

@@ -2,20 +2,59 @@ using Avalonia.Metadata;
 
 namespace Avalonia.Input
 {
+    /// <summary>
+    /// Identifies specific pointer generated by input device.
+    /// </summary>
+    /// <remarks>
+    /// Some devices, for instance, touchscreen might generate a pointer on each physical contact.
+    /// </remarks>
     [NotClientImplementable]
     public interface IPointer
     {
+        /// <summary>
+        /// Gets a unique identifier for the input pointer.
+        /// </summary>
         int Id { get; }
+
+        /// <summary>
+        /// Captures pointer input to the specified control.
+        /// </summary>
+        /// <param name="control">The control.</param>
+        /// <remarks>
+        /// When an element captures the pointer, it receives pointer input whether the cursor is 
+        /// within the control's bounds or not. The current pointer capture control is exposed
+        /// by the <see cref="Captured"/> property.
+        /// </remarks>
         void Capture(IInputElement? control);
+
+        /// <summary>
+        /// Gets the control that is currently capturing by the pointer, if any.
+        /// </summary>
+        /// <remarks>
+        /// When an element captures the pointer, it receives pointer input whether the cursor is 
+        /// within the control's bounds or not. To set the pointer capture, call the 
+        /// <see cref="Capture"/> method.
+        /// </remarks>
         IInputElement? Captured { get; }
+
+        /// <summary>
+        /// Gets the pointer device type.
+        /// </summary>
         PointerType Type { get; }
+
+        /// <summary>
+        /// Gets a value that indicates whether the input is from the primary pointer when multiple pointers are registered.
+        /// </summary>
         bool IsPrimary { get; }
-        
     }
 
+    /// <summary>
+    /// Enumerates pointer device types.
+    /// </summary>
     public enum PointerType
     {
         Mouse,
-        Touch
+        Touch,
+        Pen
     }
 }

src/Avalonia.Base/Input/InputElement.cs

@@ -128,16 +128,20 @@ namespace Avalonia.Input
                 RoutingStrategies.Tunnel | RoutingStrategies.Bubble);
 
         /// <summary>
-        /// Defines the <see cref="PointerEnter"/> event.
+        /// Defines the <see cref="PointerEntered"/> event.
         /// </summary>
-        public static readonly RoutedEvent<PointerEventArgs> PointerEnterEvent =
+        public static readonly RoutedEvent<PointerEventArgs> PointerEnteredEvent =
-            RoutedEvent.Register<InputElement, PointerEventArgs>(nameof(PointerEnter), RoutingStrategies.Direct);
+            RoutedEvent.Register<InputElement, PointerEventArgs>(
+                nameof(PointerEntered),
+                RoutingStrategies.Direct);
 
         /// <summary>
-        /// Defines the <see cref="PointerLeave"/> event.
+        /// Defines the <see cref="PointerExited"/> event.
         /// </summary>
-        public static readonly RoutedEvent<PointerEventArgs> PointerLeaveEvent =
+        public static readonly RoutedEvent<PointerEventArgs> PointerExitedEvent =
-            RoutedEvent.Register<InputElement, PointerEventArgs>(nameof(PointerLeave), RoutingStrategies.Direct);
+            RoutedEvent.Register<InputElement, PointerEventArgs>(
+                nameof(PointerExited),
+                RoutingStrategies.Direct);
 
         /// <summary>
         /// Defines the <see cref="PointerMoved"/> event.
@@ -208,8 +212,8 @@ namespace Avalonia.Input
             KeyDownEvent.AddClassHandler<InputElement>((x, e) => x.OnKeyDown(e));
             KeyUpEvent.AddClassHandler<InputElement>((x, e) => x.OnKeyUp(e));
             TextInputEvent.AddClassHandler<InputElement>((x, e) => x.OnTextInput(e));
-            PointerEnterEvent.AddClassHandler<InputElement>((x, e) => x.OnPointerEnterCore(e));
+            PointerEnteredEvent.AddClassHandler<InputElement>((x, e) => x.OnPointerEnteredCore(e));
-            PointerLeaveEvent.AddClassHandler<InputElement>((x, e) => x.OnPointerLeaveCore(e));
+            PointerExitedEvent.AddClassHandler<InputElement>((x, e) => x.OnPointerExitedCore(e));
             PointerMovedEvent.AddClassHandler<InputElement>((x, e) => x.OnPointerMoved(e));
             PointerPressedEvent.AddClassHandler<InputElement>((x, e) => x.OnPointerPressed(e));
             PointerReleasedEvent.AddClassHandler<InputElement>((x, e) => x.OnPointerReleased(e));
@@ -279,19 +283,19 @@ namespace Avalonia.Input
         /// <summary>
         /// Occurs when the pointer enters the control.
         /// </summary>
-        public event EventHandler<PointerEventArgs>? PointerEnter
+        public event EventHandler<PointerEventArgs>? PointerEntered
         {
-            add { AddHandler(PointerEnterEvent, value); }
+            add { AddHandler(PointerEnteredEvent, value); }
-            remove { RemoveHandler(PointerEnterEvent, value); }
+            remove { RemoveHandler(PointerEnteredEvent, value); }
         }
 
         /// <summary>
         /// Occurs when the pointer leaves the control.
         /// </summary>
-        public event EventHandler<PointerEventArgs>? PointerLeave
+        public event EventHandler<PointerEventArgs>? PointerExited
         {
-            add { AddHandler(PointerLeaveEvent, value); }
+            add { AddHandler(PointerExitedEvent, value); }
-            remove { RemoveHandler(PointerLeaveEvent, value); }
+            remove { RemoveHandler(PointerExitedEvent, value); }
         }
 
         /// <summary>
@@ -539,18 +543,18 @@ namespace Avalonia.Input
         }
 
         /// <summary>
-        /// Called before the <see cref="PointerEnter"/> event occurs.
+        /// Called before the <see cref="PointerEntered"/> event occurs.
         /// </summary>
         /// <param name="e">The event args.</param>
-        protected virtual void OnPointerEnter(PointerEventArgs e)
+        protected virtual void OnPointerEntered(PointerEventArgs e)
         {
         }
 
         /// <summary>
-        /// Called before the <see cref="PointerLeave"/> event occurs.
+        /// Called before the <see cref="PointerExited"/> event occurs.
         /// </summary>
         /// <param name="e">The event args.</param>
-        protected virtual void OnPointerLeave(PointerEventArgs e)
+        protected virtual void OnPointerExited(PointerEventArgs e)
         {
         }
 
@@ -561,7 +565,9 @@ namespace Avalonia.Input
         protected virtual void OnPointerMoved(PointerEventArgs e)
         {
             if (_gestureRecognizers?.HandlePointerMoved(e) == true)
+            {
                 e.Handled = true;
+            }
         }
 
         /// <summary>
@@ -571,7 +577,9 @@ namespace Avalonia.Input
         protected virtual void OnPointerPressed(PointerPressedEventArgs e)
         {
             if (_gestureRecognizers?.HandlePointerPressed(e) == true)
+            {
                 e.Handled = true;
+            }
         }
 
         /// <summary>
@@ -581,7 +589,9 @@ namespace Avalonia.Input
         protected virtual void OnPointerReleased(PointerReleasedEventArgs e)
         {
             if (_gestureRecognizers?.HandlePointerReleased(e) == true)
+            {
                 e.Handled = true;
+            }
         }
 
         /// <summary>
@@ -634,23 +644,23 @@ namespace Avalonia.Input
         }
 
         /// <summary>
-        /// Called before the <see cref="PointerEnter"/> event occurs.
+        /// Called before the <see cref="PointerEntered"/> event occurs.
         /// </summary>
         /// <param name="e">The event args.</param>
-        private void OnPointerEnterCore(PointerEventArgs e)
+        private void OnPointerEnteredCore(PointerEventArgs e)
         {
             IsPointerOver = true;
-            OnPointerEnter(e);
+            OnPointerEntered(e);
         }
 
         /// <summary>
-        /// Called before the <see cref="PointerLeave"/> event occurs.
+        /// Called before the <see cref="PointerExited"/> event occurs.
         /// </summary>
         /// <param name="e">The event args.</param>
-        private void OnPointerLeaveCore(PointerEventArgs e)
+        private void OnPointerExitedCore(PointerEventArgs e)
         {
             IsPointerOver = false;
-            OnPointerLeave(e);
+            OnPointerExited(e);
         }
 
         /// <summary>

src/Avalonia.Base/Input/PenDevice.cs

@@ -0,0 +1,174 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Reactive.Linq;
+using Avalonia.Input.Raw;
+using Avalonia.Platform;
+using Avalonia.VisualTree;
+
+namespace Avalonia.Input
+{
+    /// <summary>
+    /// Represents a pen/stylus device.
+    /// </summary>
+    public class PenDevice : IPenDevice, IDisposable
+    {
+        private readonly Dictionary<long, Pointer> _pointers = new();
+        private readonly Dictionary<long, PixelPoint> _lastPositions = new();
+        private int _clickCount;
+        private Rect _lastClickRect;
+        private ulong _lastClickTime;
+        private MouseButton _lastMouseDownButton;
+
+        private bool _disposed;
+
+        public void ProcessRawEvent(RawInputEventArgs e)
+        {
+            if (!e.Handled && e is RawPointerEventArgs margs)
+                ProcessRawEvent(margs);
+        }
+
+        private void ProcessRawEvent(RawPointerEventArgs e)
+        {
+            e = e ?? throw new ArgumentNullException(nameof(e));
+
+            if (!_pointers.TryGetValue(e.RawPointerId, out var pointer))
+            {
+                if (e.Type == RawPointerEventType.LeftButtonUp
+                    || e.Type == RawPointerEventType.TouchEnd)
+                    return;
+
+                _pointers[e.RawPointerId] = pointer = new Pointer(Pointer.GetNextFreeId(),
+                    PointerType.Pen, _pointers.Count == 0);
+            }
+
+            _lastPositions[e.RawPointerId] = e.Root.PointToScreen(e.Position);
+
+            var props = new PointerPointProperties(e.InputModifiers, e.Type.ToUpdateKind(),
+                e.Point.Twist, e.Point.Pressure, e.Point.XTilt, e.Point.YTilt);
+            var keyModifiers = e.InputModifiers.ToKeyModifiers();
+
+            bool shouldReleasePointer = false;
+            switch (e.Type)
+            {
+                case RawPointerEventType.LeaveWindow:
+                    shouldReleasePointer = true;
+                    break;
+                case RawPointerEventType.LeftButtonDown:
+                    e.Handled = PenDown(pointer, e.Timestamp, e.Root, e.Position, props, keyModifiers, e.InputHitTestResult);
+                    break;
+                case RawPointerEventType.LeftButtonUp:
+                    e.Handled = PenUp(pointer, e.Timestamp, e.Root, e.Position, props, keyModifiers, e.InputHitTestResult);
+                    break;
+                case RawPointerEventType.Move:
+                    e.Handled = PenMove(pointer, e.Timestamp, e.Root, e.Position, props, keyModifiers, e.InputHitTestResult, e.IntermediatePoints);
+                    break;
+            }
+
+            if (shouldReleasePointer)
+            {
+                pointer.Dispose();
+                _pointers.Remove(e.RawPointerId);
+                _lastPositions.Remove(e.RawPointerId);
+            }
+        }
+
+        private bool PenDown(Pointer pointer, ulong timestamp,
+            IInputElement root, Point p, PointerPointProperties properties,
+            KeyModifiers inputModifiers, IInputElement? hitTest)
+        {
+            var source = pointer.Captured ?? hitTest;
+
+            if (source != null)
+            {
+                pointer.Capture(source);
+                var settings = AvaloniaLocator.Current.GetService<IPlatformSettings>();
+                var doubleClickTime = settings?.DoubleClickTime.TotalMilliseconds ?? 500;
+                var doubleClickSize = settings?.DoubleClickSize ?? new Size(4, 4);
+
+                if (!_lastClickRect.Contains(p) || timestamp - _lastClickTime > doubleClickTime)
+                {
+                    _clickCount = 0;
+                }
+
+                ++_clickCount;
+                _lastClickTime = timestamp;
+                _lastClickRect = new Rect(p, new Size())
+                    .Inflate(new Thickness(doubleClickSize.Width / 2, doubleClickSize.Height / 2));
+                _lastMouseDownButton = properties.PointerUpdateKind.GetMouseButton();
+                var e = new PointerPressedEventArgs(source, pointer, root, p, timestamp, properties, inputModifiers, _clickCount);
+                source.RaiseEvent(e);
+                return e.Handled;
+            }
+
+            return false;
+        }
+
+        private bool PenMove(Pointer pointer, ulong timestamp,
+            IInputRoot root, Point p, PointerPointProperties properties,
+            KeyModifiers inputModifiers, IInputElement? hitTest,
+            Lazy<IReadOnlyList<RawPointerPoint>?>? intermediatePoints)
+        {
+            var source = pointer.Captured ?? hitTest;
+
+            if (source is not null)
+            {
+                var e = new PointerEventArgs(InputElement.PointerMovedEvent, source, pointer, root,
+                    p, timestamp, properties, inputModifiers, intermediatePoints);
+
+                source.RaiseEvent(e);
+                return e.Handled;
+            }
+
+            return false;
+        }
+
+        private bool PenUp(Pointer pointer, ulong timestamp,
+            IInputElement root, Point p, PointerPointProperties properties,
+            KeyModifiers inputModifiers, IInputElement? hitTest)
+        {
+            var source = pointer.Captured ?? hitTest;
+
+            if (source is not null)
+            {
+                var e = new PointerReleasedEventArgs(source, pointer, root, p, timestamp, properties, inputModifiers,
+                    _lastMouseDownButton);
+
+                source?.RaiseEvent(e);
+                pointer.Capture(null);
+                return e.Handled;
+            }
+
+            return false;
+        }
+
+        public void Dispose()
+        {
+            if (_disposed)
+                return;
+            var values = _pointers.Values.ToList();
+            _pointers.Clear();
+            _disposed = true;
+            foreach (var p in values)
+                p.Dispose();
+        }
+
+        [Obsolete]
+        IInputElement? IPointerDevice.Captured => _pointers.Values
+            .FirstOrDefault(p => p.IsPrimary)?.Captured;
+
+        [Obsolete]
+        void IPointerDevice.Capture(IInputElement? control) => _pointers.Values
+            .FirstOrDefault(p => p.IsPrimary)?.Capture(control);
+
+        [Obsolete]
+        Point IPointerDevice.GetPosition(IVisual relativeTo) => new Point(-1, -1);
+
+        public IPointer? TryGetPointer(RawPointerEventArgs ev)
+        {
+            return _pointers.TryGetValue(ev.RawPointerId, out var pointer)
+                ? pointer
+                : null;
+        }
+    }
+}

src/Avalonia.Base/Input/PointerEventArgs.cs

@@ -67,7 +67,14 @@ namespace Avalonia.Input
             public IPointer? TryGetPointer(RawPointerEventArgs ev) => _ev.Pointer;
         }
 
+        /// <summary>
+        /// Gets specific pointer generated by input device.
+        /// </summary>
         public IPointer Pointer { get; }
+
+        /// <summary>
+        /// Gets the time when the input occurred.
+        /// </summary>
         public ulong Timestamp { get; }
 
         private IPointerDevice? _device;
@@ -91,7 +98,10 @@ namespace Avalonia.Input
                 return mods;
             }
         }
-        
+
+        /// <summary>
+        /// Gets a value that indicates which key modifiers were active at the time that the pointer event was initiated.
+        /// </summary>
         public KeyModifiers KeyModifiers { get; }
 
         private Point GetPosition(Point pt, IVisual? relativeTo)
@@ -102,7 +112,12 @@ namespace Avalonia.Input
                 return pt;
             return pt * _rootVisual.TransformToVisual(relativeTo) ?? default;
         }
-        
+
+        /// <summary>
+        /// Gets the pointer position relative to a control.
+        /// </summary>
+        /// <param name="relativeTo">The control.</param>
+        /// <returns>The pointer position in the control's coordinates.</returns>
         public Point GetPosition(IVisual? relativeTo) => GetPosition(_rootVisualPosition, relativeTo);
 
         [Obsolete("Use GetCurrentPoint")]
@@ -130,7 +145,8 @@ namespace Avalonia.Input
             for (var c = 0; c < previousPoints.Count; c++)
             {
                 var pt = previousPoints[c];
-                points[c] = new PointerPoint(Pointer, GetPosition(pt.Position, relativeTo), _properties);
+                var pointProperties = new PointerPointProperties(_properties, pt);
+                points[c] = new PointerPoint(Pointer, GetPosition(pt.Position, relativeTo), pointProperties);
             }
 
             points[points.Length - 1] = GetCurrentPoint(relativeTo);

src/Avalonia.Base/Input/PointerOverPreProcessor.cs

@@ -97,7 +97,7 @@ namespace Avalonia.Input
             // Do not pass rootVisual, when we have unknown (negative) position,
             // so GetPosition won't return invalid values.
             var hasPosition = position.X >= 0 && position.Y >= 0;
-            var e = new PointerEventArgs(InputElement.PointerLeaveEvent, element, pointer,
+            var e = new PointerEventArgs(InputElement.PointerExitedEvent, element, pointer,
                 hasPosition ? root : null, hasPosition ? position : default,
                 timestamp, properties, inputModifiers);
 
@@ -177,7 +177,7 @@ namespace Avalonia.Input
 
             el = root.PointerOverElement;
 
-            var e = new PointerEventArgs(InputElement.PointerLeaveEvent, el, pointer, root, position,
+            var e = new PointerEventArgs(InputElement.PointerExitedEvent, el, pointer, root, position,
                 timestamp, properties, inputModifiers);
             if (el != null && branch != null && !el.IsAttachedToVisualTree)
             {
@@ -195,7 +195,7 @@ namespace Avalonia.Input
             el = root.PointerOverElement = element;
             _lastPointer = (pointer, root.PointToScreen(position));
 
-            e.RoutedEvent = InputElement.PointerEnterEvent;
+            e.RoutedEvent = InputElement.PointerEnteredEvent;
 
             while (el != null && el != branch)
             {

src/Avalonia.Base/Input/PointerPoint.cs

@@ -1,5 +1,10 @@
+using Avalonia.Input.Raw;
+
 namespace Avalonia.Input
 {
+    /// <summary>
+    /// Provides basic properties for the input pointer associated with a single mouse, pen/stylus, or touch contact.
+    /// </summary>
     public sealed class PointerPoint
     {
         public PointerPoint(IPointer pointer, Point position, PointerPointProperties properties)
@@ -8,25 +13,109 @@ namespace Avalonia.Input
             Position = position;
             Properties = properties;
         }
+
+        /// <summary>
+        /// Gets specific pointer generated by input device.
+        /// </summary>
         public IPointer Pointer { get; }
+
+        /// <summary>
+        /// Gets extended information about the input pointer.
+        /// </summary>
         public PointerPointProperties Properties { get; }
+
+        /// <summary>
+        /// Gets the location of the pointer input in client coordinates.
+        /// </summary>
         public Point Position { get; }
     }
 
+    /// <summary>
+    /// Provides extended properties for a PointerPoint object.
+    /// </summary>
     public sealed class PointerPointProperties
     {
+        /// <summary>
+        /// Gets a value that indicates whether the pointer input was triggered by the primary action mode of an input device.
+        /// </summary>
         public bool IsLeftButtonPressed { get; }
+
+        /// <summary>
+        /// Gets a value that indicates whether the pointer input was triggered by the tertiary action mode of an input device.
+        /// </summary>
         public bool IsMiddleButtonPressed { get; }
+
+        /// <summary>
+        /// Gets a value that indicates whether the pointer input was triggered by the secondary action mode (if supported) of an input device.
+        /// </summary>
         public bool IsRightButtonPressed { get; }
+
+        /// <summary>
+        /// Gets a value that indicates whether the pointer input was triggered by the first extended mouse button (XButton1).
+        /// </summary>
         public bool IsXButton1Pressed { get; }
+
+        /// <summary>
+        /// Gets a value that indicates whether the pointer input was triggered by the second extended mouse button (XButton2).
+        /// </summary>
         public bool IsXButton2Pressed { get; }
 
+        /// <summary>
+        /// Gets a value that indicates whether the barrel button of the pen/stylus device is pressed.
+        /// </summary>
+        public bool IsBarrelButtonPressed { get; }
+
+        /// <summary>
+        /// Gets a value that indicates whether the input is from a pen eraser.
+        /// </summary>
+        public bool IsEraser { get; }
+
+        /// <summary>
+        /// Gets a value that indicates whether the digitizer pen is inverted.
+        /// </summary>
+        public bool IsInverted { get; }
+
+        /// <summary>
+        /// Gets the clockwise rotation in degrees of a pen device around its own major axis (such as when the user spins the pen in their fingers).
+        /// </summary>
+        /// <returns>
+        /// A value between 0.0 and 359.0 in degrees of rotation. The default value is 0.0.
+        /// </returns>
+        public float Twist { get; }
+
+        /// <summary>
+        /// Gets a value that indicates the force that the pointer device (typically a pen/stylus) exerts on the surface of the digitizer.
+        /// </summary>
+        /// <returns>
+        /// A value from 0 to 1.0. The default value is 0.5.
+        /// </returns>
+        public float Pressure { get; } = 0.5f;
+
+        /// <summary>
+        /// Gets the plane angle between the Y-Z plane and the plane that contains the Y axis and the axis of the input device (typically a pen/stylus).
+        /// </summary>
+        /// <returns>
+        /// The value is 0.0 when the finger or pen is perpendicular to the digitizer surface, between 0.0 and 90.0 when tilted to the right of perpendicular, and between 0.0 and -90.0 when tilted to the left of perpendicular. The default value is 0.0.
+        /// </returns>
+        public float XTilt { get; }
+
+        /// <summary>
+        /// Gets the plane angle between the X-Z plane and the plane that contains the X axis and the axis of the input device (typically a pen/stylus).
+        /// </summary>
+        /// <returns>
+        /// The value is 0.0 when the finger or pen is perpendicular to the digitizer surface, between 0.0 and 90.0 when tilted towards the user, and between 0.0 and -90.0 when tilted away from the user. The default value is 0.0.
+        /// </returns>
+        public float YTilt { get; }
+
+        /// <summary>
+        /// Gets the kind of pointer state change.
+        /// </summary>
         public PointerUpdateKind PointerUpdateKind { get; }
 
         private PointerPointProperties()
-        {            
+        {
         }
-        
+
         public PointerPointProperties(RawInputModifiers modifiers, PointerUpdateKind kind)
         {
             PointerUpdateKind = kind;
@@ -36,10 +125,13 @@ namespace Avalonia.Input
             IsRightButtonPressed = modifiers.HasAllFlags(RawInputModifiers.RightMouseButton);
             IsXButton1Pressed = modifiers.HasAllFlags(RawInputModifiers.XButton1MouseButton);
             IsXButton2Pressed = modifiers.HasAllFlags(RawInputModifiers.XButton2MouseButton);
+            IsInverted = modifiers.HasAllFlags(RawInputModifiers.PenInverted);
+            IsEraser = modifiers.HasAllFlags(RawInputModifiers.PenEraser);
+            IsBarrelButtonPressed = modifiers.HasAllFlags(RawInputModifiers.PenBarrelButton);
 
             // The underlying input source might be reporting the previous state,
             // so make sure that we reflect the current state
-            
+
             if (kind == PointerUpdateKind.LeftButtonPressed)
                 IsLeftButtonPressed = true;
             if (kind == PointerUpdateKind.LeftButtonReleased)
@@ -62,6 +154,33 @@ namespace Avalonia.Input
                 IsXButton2Pressed = false;
         }
 
+        public PointerPointProperties(RawInputModifiers modifiers, PointerUpdateKind kind,
+            float twist, float pressure, float xTilt, float yTilt
+            ) : this (modifiers, kind)
+        {
+            Twist = twist;
+            Pressure = pressure;
+            XTilt = xTilt;
+            YTilt = yTilt;
+        }
+
+        internal PointerPointProperties(PointerPointProperties basedOn, RawPointerPoint rawPoint)
+        {
+            IsLeftButtonPressed = basedOn.IsLeftButtonPressed;
+            IsMiddleButtonPressed = basedOn.IsMiddleButtonPressed;
+            IsRightButtonPressed = basedOn.IsRightButtonPressed;
+            IsXButton1Pressed = basedOn.IsXButton1Pressed;
+            IsXButton2Pressed = basedOn.IsXButton2Pressed;
+            IsInverted = basedOn.IsInverted;
+            IsEraser = basedOn.IsEraser;
+            IsBarrelButtonPressed = basedOn.IsBarrelButtonPressed;
+
+            Twist = rawPoint.Twist;
+            Pressure = rawPoint.Pressure;
+            XTilt = rawPoint.XTilt;
+            YTilt = rawPoint.YTilt;
+        }
+
         public static PointerPointProperties None { get; } = new PointerPointProperties();
     }
 

src/Avalonia.Base/Input/Raw/RawPointerEventArgs.cs

@@ -56,11 +56,12 @@ namespace Avalonia.Input.Raw
             Contract.Requires<ArgumentNullException>(device != null);
             Contract.Requires<ArgumentNullException>(root != null);
 
+            Point = new RawPointerPoint();
             Position = position;
             Type = type;
             InputModifiers = inputModifiers;
         }
-        
+
         /// <summary>
         /// Initializes a new instance of the <see cref="RawPointerEventArgs"/> class.
         /// </summary>
@@ -87,6 +88,11 @@ namespace Avalonia.Input.Raw
             InputModifiers = inputModifiers;
         }
 
+        /// <summary>
+        /// Gets the raw pointer identifier.
+        /// </summary>
+        public long RawPointerId { get; set; }
+
         /// <summary>
         /// Gets the pointer properties and position, in client DIPs.
         /// </summary>
@@ -130,10 +136,17 @@ namespace Avalonia.Input.Raw
         /// Pointer position, in client DIPs.
         /// </summary>
         public Point Position { get; set; }
-        
+
+        public float Twist { get; set; }
+        public float Pressure { get; set; }
+        public float XTilt { get; set; }
+        public float YTilt { get; set; }
+
+
         public RawPointerPoint()
         {
-            Position = default;
+            this = default;
+            Pressure = 0.5f;
         }
     }
 }

src/Avalonia.Base/Input/Raw/RawTouchEventArgs.cs

@@ -1,15 +1,26 @@
+using System;
+
 namespace Avalonia.Input.Raw
 {
     public class RawTouchEventArgs : RawPointerEventArgs
     {
         public RawTouchEventArgs(IInputDevice device, ulong timestamp, IInputRoot root,
             RawPointerEventType type, Point position, RawInputModifiers inputModifiers,
-            long touchPointId) 
+            long rawPointerId) 
             : base(device, timestamp, root, type, position, inputModifiers)
         {
-            TouchPointId = touchPointId;
+            RawPointerId = rawPointerId;
+        }
+
+        public RawTouchEventArgs(IInputDevice device, ulong timestamp, IInputRoot root,
+            RawPointerEventType type, RawPointerPoint point, RawInputModifiers inputModifiers,
+            long rawPointerId)
+            : base(device, timestamp, root, type, point, inputModifiers)
+        {
+            RawPointerId = rawPointerId;
         }
 
-        public long TouchPointId { get; set; }
+        [Obsolete("Use RawPointerId")]
+        public long TouchPointId { get => RawPointerId; set => RawPointerId = value; }
     }
 }

src/Avalonia.Base/Input/TouchDevice.cs

@@ -40,14 +40,14 @@ namespace Avalonia.Input
         {
             if (ev.Handled || _disposed)
                 return;
-            var args = (RawTouchEventArgs)ev;
+            var args = (RawPointerEventArgs)ev;
-            if (!_pointers.TryGetValue(args.TouchPointId, out var pointer))
+            if (!_pointers.TryGetValue(args.RawPointerId, out var pointer))
             {
                 if (args.Type == RawPointerEventType.TouchEnd)
                     return;
                 var hit = args.InputHitTestResult;
 
-                _pointers[args.TouchPointId] = pointer = new Pointer(Pointer.GetNextFreeId(),
+                _pointers[args.RawPointerId] = pointer = new Pointer(Pointer.GetNextFreeId(),
                     PointerType.Touch, _pointers.Count == 0);
                 pointer.Capture(hit);
             }
@@ -88,7 +88,7 @@ namespace Avalonia.Input
 
             if (args.Type == RawPointerEventType.TouchEnd)
             {
-                _pointers.Remove(args.TouchPointId);
+                _pointers.Remove(args.RawPointerId);
                 using (pointer)
                 {
                     target.RaiseEvent(new PointerReleasedEventArgs(target, pointer,
@@ -101,7 +101,7 @@ namespace Avalonia.Input
 
             if (args.Type == RawPointerEventType.TouchCancel)
             {
-                _pointers.Remove(args.TouchPointId);
+                _pointers.Remove(args.RawPointerId);
                 using (pointer)
                     pointer.Capture(null);
                 _lastPointer = null;
@@ -129,8 +129,7 @@ namespace Avalonia.Input
 
         public IPointer? TryGetPointer(RawPointerEventArgs ev)
         {
-            return ev is RawTouchEventArgs args
+            return _pointers.TryGetValue(ev.RawPointerId, out var pointer)
-                && _pointers.TryGetValue(args.TouchPointId, out var pointer)
                 ? pointer
                 : null;
         }

src/Avalonia.Base/Layout/LayoutHelper.cs

@@ -36,11 +36,28 @@ namespace Avalonia.Layout
         public static Size MeasureChild(ILayoutable? control, Size availableSize, Thickness padding,
             Thickness borderThickness)
         {
-            return MeasureChild(control, availableSize, padding + borderThickness);
+            if (IsParentLayoutRounded(control, out double scale))
+            {
+                padding = RoundLayoutThickness(padding, scale, scale);
+                borderThickness = RoundLayoutThickness(borderThickness, scale, scale);
+            }
+
+            if (control != null)
+            {
+                control.Measure(availableSize.Deflate(padding + borderThickness));
+                return control.DesiredSize.Inflate(padding + borderThickness);
+            }
+
+            return new Size().Inflate(padding + borderThickness);
         }
 
         public static Size MeasureChild(ILayoutable? control, Size availableSize, Thickness padding)
         {
+            if (IsParentLayoutRounded(control, out double scale))
+            {
+                padding = RoundLayoutThickness(padding, scale, scale);
+            }
+
             if (control != null)
             {
                 control.Measure(availableSize.Deflate(padding));
@@ -137,7 +154,7 @@ namespace Avalonia.Layout
 
         /// <summary>
         /// Rounds a size to integer values for layout purposes, compensating for high DPI screen
-        /// coordinates.
+        /// coordinates by rounding the size up to the nearest pixel.
         /// </summary>
         /// <param name="size">Input size.</param>
         /// <param name="dpiScaleX">DPI along x-dimension.</param>
@@ -149,9 +166,9 @@ namespace Avalonia.Layout
         /// associated with the UseLayoutRounding property and should not be used as a general rounding
         /// utility.
         /// </remarks>
-        public static Size RoundLayoutSize(Size size, double dpiScaleX, double dpiScaleY)
+        public static Size RoundLayoutSizeUp(Size size, double dpiScaleX, double dpiScaleY)
         {
-            return new Size(RoundLayoutValue(size.Width, dpiScaleX), RoundLayoutValue(size.Height, dpiScaleY));
+            return new Size(RoundLayoutValueUp(size.Width, dpiScaleX), RoundLayoutValueUp(size.Height, dpiScaleY));
         }
 
         /// <summary>
@@ -178,10 +195,9 @@ namespace Avalonia.Layout
             );
         }
 
-
-
         /// <summary>
-        /// Calculates the value to be used for layout rounding at high DPI.
+        /// Calculates the value to be used for layout rounding at high DPI by rounding the value
+        /// up or down to the nearest pixel.
         /// </summary>
         /// <param name="value">Input value to be rounded.</param>
         /// <param name="dpiScale">Ratio of screen's DPI to layout DPI</param>
@@ -217,7 +233,46 @@ namespace Avalonia.Layout
 
             return newValue;
         }
-        
+
+        /// <summary>
+        /// Calculates the value to be used for layout rounding at high DPI by rounding the value up
+        /// to the nearest pixel.
+        /// </summary>
+        /// <param name="value">Input value to be rounded.</param>
+        /// <param name="dpiScale">Ratio of screen's DPI to layout DPI</param>
+        /// <returns>Adjusted value that will produce layout rounding on screen at high dpi.</returns>
+        /// <remarks>
+        /// This is a layout helper method. It takes DPI into account and also does not return
+        /// the rounded value if it is unacceptable for layout, e.g. Infinity or NaN. It's a helper
+        /// associated with the UseLayoutRounding property and should not be used as a general rounding
+        /// utility.
+        /// </remarks>
+        public static double RoundLayoutValueUp(double value, double dpiScale)
+        {
+            double newValue;
+
+            // If DPI == 1, don't use DPI-aware rounding.
+            if (!MathUtilities.IsOne(dpiScale))
+            {
+                newValue = Math.Ceiling(value * dpiScale) / dpiScale;
+
+                // If rounding produces a value unacceptable to layout (NaN, Infinity or MaxValue),
+                // use the original value.
+                if (double.IsNaN(newValue) ||
+                    double.IsInfinity(newValue) ||
+                    MathUtilities.AreClose(newValue, double.MaxValue))
+                {
+                    newValue = value;
+                }
+            }
+            else
+            {
+                newValue = Math.Ceiling(value);
+            }
+
+            return newValue;
+        }
+
         /// <summary>
         /// Calculates the min and max height for a control. Ported from WPF.
         /// </summary>

src/Avalonia.Base/Layout/Layoutable.cs

@@ -548,6 +548,14 @@ namespace Avalonia.Layout
             if (IsVisible)
             {
                 var margin = Margin;
+                var useLayoutRounding = UseLayoutRounding;
+                var scale = 1.0;
+
+                if (useLayoutRounding)
+                {
+                    scale = LayoutHelper.GetLayoutScale(this);
+                    margin = LayoutHelper.RoundLayoutThickness(margin, scale, scale);
+                }
 
                 ApplyStyling();
                 ApplyTemplate();
@@ -584,16 +592,14 @@ namespace Avalonia.Layout
                 height = Math.Min(height, MaxHeight);
                 height = Math.Max(height, MinHeight);
 
-                width = Math.Min(width, availableSize.Width);
+                if (useLayoutRounding)
-                height = Math.Min(height, availableSize.Height);
-
-                if (UseLayoutRounding)
                 {
-                    var scale = LayoutHelper.GetLayoutScale(this);
+                    (width, height) = LayoutHelper.RoundLayoutSizeUp(new Size(width, height), scale, scale);
-                    width = LayoutHelper.RoundLayoutValue(width, scale);
-                    height = LayoutHelper.RoundLayoutValue(height, scale);
                 }
 
+                width = Math.Min(width, availableSize.Width);
+                height = Math.Min(height, availableSize.Height);
+
                 return NonNegative(new Size(width, height).Inflate(margin));
             }
             else
@@ -678,8 +684,8 @@ namespace Avalonia.Layout
 
                 if (useLayoutRounding)
                 {
-                    size = LayoutHelper.RoundLayoutSize(size, scale, scale);
+                    size = LayoutHelper.RoundLayoutSizeUp(size, scale, scale);
-                    availableSizeMinusMargins = LayoutHelper.RoundLayoutSize(availableSizeMinusMargins, scale, scale);
+                    availableSizeMinusMargins = LayoutHelper.RoundLayoutSizeUp(availableSizeMinusMargins, scale, scale);
                 }
 
                 size = ArrangeOverride(size).Constrain(size);

src/Avalonia.Base/Media/GlyphRun.cs

@@ -734,10 +734,9 @@ namespace Avalonia.Media
 
         private void Set<T>(ref T field, T value)
         {
-            if (_glyphRunImpl != null)
+            _glyphRunImpl?.Dispose();
-            {
+
-                throw new InvalidOperationException("GlyphRun can't be changed after it has been initialized.'");
+            _glyphRunImpl = null;
-            }
 
             _glyphRunMetrics = null;
 

src/Avalonia.Base/Media/TextAlignment.cs

@@ -19,5 +19,28 @@ namespace Avalonia.Media
         /// The text is right-aligned.
         /// </summary>
         Right,
+
+        /// <summary>
+        /// The beginning of the text is aligned to the edge of the available space.
+        /// </summary>
+        Start,
+
+        /// <summary>
+        /// The end of the text is aligned to the edge of the available space.
+        /// </summary>
+        End,
+
+        /// <summary>
+        /// Text alignment is inferred from the text content.
+        /// </summary>
+        /// <remarks>
+        /// When the TextAlignment property is set to DetectFromContent, alignment is inferred from the text content of the control. For example, English text is left aligned, and Arabic text is right aligned.
+        /// </remarks>
+        DetectFromContent,
+
+        /// <summary>
+        /// Text is justified within the available space.
+        /// </summary>
+        Justify
     }
 }

src/Avalonia.Base/Media/TextFormatting/InterWordJustification.cs

@@ -0,0 +1,109 @@
+using System;
+using System.Collections.Generic;
+using Avalonia.Media.TextFormatting.Unicode;
+
+namespace Avalonia.Media.TextFormatting
+{
+    internal class InterWordJustification : JustificationProperties
+    {
+        public InterWordJustification(double width)
+        {
+            Width = width;
+        }
+
+        public override double Width { get; }
+
+        public override void Justify(TextLine textLine)
+        {
+            var paragraphWidth = Width;
+
+            if (double.IsInfinity(paragraphWidth))
+            {
+                return;
+            }
+
+            if (textLine.NewLineLength > 0)
+            {
+                return;
+            }
+
+            var textLineBreak = textLine.TextLineBreak;
+
+            if (textLineBreak is not null && textLineBreak.TextEndOfLine is not null)
+            {
+                if (textLineBreak.RemainingRuns is null || textLineBreak.RemainingRuns.Count == 0)
+                {
+                    return;
+                }
+            }
+
+            var breakOportunities = new Queue<int>();
+
+            foreach (var textRun in textLine.TextRuns)
+            {
+                var text = textRun.Text;
+
+                if (text.IsEmpty)
+                {
+                    continue;
+                }
+
+                var start = text.Start;
+
+                var lineBreakEnumerator = new LineBreakEnumerator(text);
+
+                while (lineBreakEnumerator.MoveNext())
+                {
+                    var currentBreak = lineBreakEnumerator.Current;
+
+                    if (!currentBreak.Required && currentBreak.PositionWrap != text.Length)
+                    {
+                        breakOportunities.Enqueue(start + currentBreak.PositionMeasure);
+                    }
+                }
+            }
+
+            if (breakOportunities.Count == 0)
+            {
+                return;
+            }
+
+            var remainingSpace = Math.Max(0, paragraphWidth - textLine.WidthIncludingTrailingWhitespace);
+            var spacing = remainingSpace / breakOportunities.Count;
+
+            foreach (var textRun in textLine.TextRuns)
+            {
+                var text = textRun.Text;
+
+                if (text.IsEmpty)
+                {
+                    continue;
+                }
+
+                if (textRun is ShapedTextCharacters shapedText)
+                {
+                    var glyphRun = shapedText.GlyphRun;
+                    var shapedBuffer = shapedText.ShapedBuffer;
+                    var currentPosition = text.Start;
+
+                    while (breakOportunities.Count > 0)
+                    {
+                        var characterIndex = breakOportunities.Dequeue();
+
+                        if (characterIndex < currentPosition)
+                        {
+                            continue;
+                        }
+
+                        var glyphIndex = glyphRun.FindGlyphIndex(characterIndex);
+                        var glyphInfo = shapedBuffer.GlyphInfos[glyphIndex];
+
+                        shapedBuffer.GlyphInfos[glyphIndex] = new GlyphInfo(glyphInfo.GlyphIndex, glyphInfo.GlyphCluster, glyphInfo.GlyphAdvance + spacing);
+                    }
+
+                    glyphRun.GlyphAdvances = shapedBuffer.GlyphAdvances;
+                }
+            }
+        }
+    }
+}

src/Avalonia.Base/Media/TextFormatting/JustificationProperties.cs

@@ -0,0 +1,16 @@
+namespace Avalonia.Media.TextFormatting
+{
+    public abstract class JustificationProperties
+    {
+        /// <summary>
+        /// Gets the width in which the range is justified.
+        /// </summary>
+        public abstract double Width { get; }
+
+        /// <summary>
+        /// Justifies given text line.
+        /// </summary>
+        /// <param name="textLine">Text line to collapse.</param>
+        public abstract void Justify(TextLine textLine);
+    }
+}

src/Avalonia.Base/Media/TextFormatting/TextFormatterImpl.cs

@@ -15,7 +15,7 @@ namespace Avalonia.Media.TextFormatting
             TextParagraphProperties paragraphProperties, TextLineBreak? previousLineBreak = null)
         {
             var textWrapping = paragraphProperties.TextWrapping;
-            FlowDirection flowDirection;
+            FlowDirection resolvedFlowDirection;
             TextLineBreak? nextLineBreak = null;
             List<DrawableTextRun> drawableTextRuns;
 
@@ -24,17 +24,17 @@ namespace Avalonia.Media.TextFormatting
 
             if (previousLineBreak?.RemainingRuns != null)
             {
-                flowDirection = previousLineBreak.FlowDirection;
+                resolvedFlowDirection = previousLineBreak.FlowDirection;
                 drawableTextRuns = previousLineBreak.RemainingRuns.ToList();
                 nextLineBreak = previousLineBreak;
             }
             else
             {
-                drawableTextRuns = ShapeTextRuns(textRuns, paragraphProperties, out flowDirection);
+                drawableTextRuns = ShapeTextRuns(textRuns, paragraphProperties, out resolvedFlowDirection);
 
                 if (nextLineBreak == null && textEndOfLine != null)
                 {
-                    nextLineBreak = new TextLineBreak(textEndOfLine, flowDirection);
+                    nextLineBreak = new TextLineBreak(textEndOfLine, resolvedFlowDirection);
                 }
             }
 
@@ -45,7 +45,7 @@ namespace Avalonia.Media.TextFormatting
                 case TextWrapping.NoWrap:
                     {
                         textLine = new TextLineImpl(drawableTextRuns, firstTextSourceIndex, textSourceLength,
-                            paragraphWidth, paragraphProperties, flowDirection, nextLineBreak);
+                            paragraphWidth, paragraphProperties, resolvedFlowDirection, nextLineBreak);
 
                         textLine.FinalizeLine();
 
@@ -55,7 +55,7 @@ namespace Avalonia.Media.TextFormatting
                 case TextWrapping.Wrap:
                     {
                         textLine = PerformTextWrapping(drawableTextRuns, firstTextSourceIndex, paragraphWidth, paragraphProperties,
-                            flowDirection, nextLineBreak);
+                            resolvedFlowDirection, nextLineBreak);
                         break;
                     }
                 default:
@@ -159,7 +159,6 @@ namespace Avalonia.Media.TextFormatting
         {
             var flowDirection = paragraphProperties.FlowDirection;
             var drawableTextRuns = new List<DrawableTextRun>();
-
             var biDiData = new BidiData((sbyte)flowDirection);
 
             foreach (var textRun in textRuns)
@@ -174,10 +173,9 @@ namespace Avalonia.Media.TextFormatting
                 {
                     biDiData.Append(textRun.Text);
                 }
-
             }
 
-            var biDi = BidiAlgorithm.Instance.Value!;
+            var biDi = new BidiAlgorithm();
 
             biDi.Process(biDiData);
 
@@ -290,9 +288,7 @@ namespace Avalonia.Media.TextFormatting
         /// <param name="textCharacters">The text characters to form <see cref="ShapeableTextCharacters"/> from.</param>
         /// <param name="levels">The bidi levels.</param>
         /// <returns></returns>
-        private static IEnumerable<IReadOnlyList<TextRun>> CoalesceLevels(
+        private static IEnumerable<IReadOnlyList<TextRun>> CoalesceLevels(IReadOnlyList<TextRun> textCharacters, ArraySlice<sbyte> levels)
-            IReadOnlyList<TextRun> textCharacters,
-            ReadOnlySlice<sbyte> levels)
         {
             if (levels.Length == 0)
             {
@@ -404,9 +400,9 @@ namespace Avalonia.Media.TextFormatting
                 {
                     endOfLine = textEndOfLine;
 
-                    textRuns.Add(textRun);
+                    textSourceLength += textEndOfLine.TextSourceLength;
 
-                    textSourceLength += textRun.TextSourceLength;
+                    textRuns.Add(textRun);
 
                     break;
                 }
@@ -431,9 +427,9 @@ namespace Avalonia.Media.TextFormatting
 
                             break;
                         }
-                    case DrawableTextRun drawableTextRun:
+                    default:
                         {
-                            textRuns.Add(drawableTextRun);
+                            textRuns.Add(textRun);
                             break;
                         }
                 }
@@ -552,11 +548,11 @@ namespace Avalonia.Media.TextFormatting
         /// <param name="firstTextSourceIndex">The first text source index.</param>
         /// <param name="paragraphWidth">The paragraph width.</param>
         /// <param name="paragraphProperties">The text paragraph properties.</param>
-        /// <param name="flowDirection"></param>
+        /// <param name="resolvedFlowDirection"></param>
         /// <param name="currentLineBreak">The current line break if the line was explicitly broken.</param>
         /// <returns>The wrapped text line.</returns>
         private static TextLineImpl PerformTextWrapping(List<DrawableTextRun> textRuns, int firstTextSourceIndex,
-            double paragraphWidth, TextParagraphProperties paragraphProperties, FlowDirection flowDirection,
+            double paragraphWidth, TextParagraphProperties paragraphProperties, FlowDirection resolvedFlowDirection,
             TextLineBreak? currentLineBreak)
         {
             if(textRuns.Count == 0)
@@ -684,16 +680,16 @@ namespace Avalonia.Media.TextFormatting
             var remainingCharacters = splitResult.Second;
 
             var lineBreak = remainingCharacters?.Count > 0 ?
-                new TextLineBreak(currentLineBreak?.TextEndOfLine, flowDirection, remainingCharacters) :
+                new TextLineBreak(currentLineBreak?.TextEndOfLine, resolvedFlowDirection, remainingCharacters) :
                 null;
 
             if (lineBreak is null && currentLineBreak?.TextEndOfLine != null)
             {
-                lineBreak = new TextLineBreak(currentLineBreak.TextEndOfLine, flowDirection);
+                lineBreak = new TextLineBreak(currentLineBreak.TextEndOfLine, resolvedFlowDirection);
             }
 
             var textLine = new TextLineImpl(splitResult.First, firstTextSourceIndex, measuredLength,
-                paragraphWidth, paragraphProperties, flowDirection,
+                paragraphWidth, paragraphProperties, resolvedFlowDirection,
                 lineBreak);
 
             return textLine.FinalizeLine();

src/Avalonia.Base/Media/TextFormatting/TextLayout.cs

@@ -439,7 +439,7 @@ namespace Avalonia.Media.TextFormatting
                 var textLine = TextFormatter.Current.FormatLine(_textSource, _textSourceLength, MaxWidth,
                     _paragraphProperties, previousLine?.TextLineBreak);
 
-                if(textLine == null || textLine.Length == 0)
+                if(textLine == null || textLine.Length == 0 || textLine.TextRuns.Count == 0 && textLine.TextLineBreak?.TextEndOfLine is TextEndOfParagraph)
                 {
                     if(previousLine != null && previousLine.NewLineLength  > 0)
                     {
@@ -501,6 +501,35 @@ namespace Avalonia.Media.TextFormatting
 
             Bounds = new Rect(left, 0, width, height);
 
+            if(_paragraphProperties.TextAlignment == TextAlignment.Justify)
+            {
+                var whitespaceWidth = 0d;
+
+                foreach (var line in textLines)
+                {
+                    var lineWhitespaceWidth = line.Width - line.WidthIncludingTrailingWhitespace;
+
+                    if(lineWhitespaceWidth > whitespaceWidth)
+                    {
+                        whitespaceWidth = lineWhitespaceWidth;
+                    }
+                }
+
+                var justificationWidth = width - whitespaceWidth;
+
+                if(justificationWidth > 0)
+                {
+                    var justificationProperties = new InterWordJustification(justificationWidth);
+
+                    for (var i = 0; i < textLines.Count - 1; i++)
+                    {
+                        var line = textLines[i];
+
+                        line.Justify(justificationProperties);
+                    }
+                }
+            }
+
             return textLines;
         }
 

src/Avalonia.Base/Media/TextFormatting/TextLine.cs

@@ -15,9 +15,15 @@ namespace Avalonia.Media.TextFormatting
         /// The contained text runs.
         /// </value>
         public abstract IReadOnlyList<TextRun> TextRuns { get; }
-        
+
+        /// <summary>
+        /// Gets the first TextSource position of the current line.
+        /// </summary>
         public abstract int FirstTextSourceIndex { get; }
 
+        /// <summary>
+        /// Gets the total number of TextSource positions of the current line.
+        /// </summary>
         public abstract int Length { get; }
 
         /// <summary>
@@ -56,7 +62,7 @@ namespace Avalonia.Media.TextFormatting
         /// Gets a value that indicates whether content of the line overflows the specified paragraph width.
         /// </summary>
         /// <returns>
-        /// <c>true</c>, it the line overflows the specified paragraph width; otherwise, <c>false</c>.
+        /// <c>true</c>, the line overflows the specified paragraph width; otherwise, <c>false</c>.
         /// </returns>
         public abstract bool HasOverflowed { get; }
 
@@ -75,7 +81,7 @@ namespace Avalonia.Media.TextFormatting
         /// The number of newline characters.
         /// </returns>
         public abstract int NewLineLength { get; }
-        
+
         /// <summary>
         /// Gets the distance that black pixels extend beyond the bottom alignment edge of a line.
         /// </summary>
@@ -149,6 +155,15 @@ namespace Avalonia.Media.TextFormatting
         /// </returns>
         public abstract TextLine Collapse(params TextCollapsingProperties[] collapsingPropertiesList);
 
+        /// <summary>
+        /// Create a justified line based on justification text properties.
+        /// </summary>
+        /// <param name="justificationProperties">An object that represent the justification text properties.</param>
+        /// <returns>
+        /// A <see cref="TextLine"/> value that represents a justified line that can be displayed.
+        /// </returns>
+        public abstract void Justify(JustificationProperties justificationProperties);
+
         /// <summary>
         /// Gets the character hit corresponding to the specified distance from the beginning of the line.
         /// </summary>
@@ -192,50 +207,5 @@ namespace Avalonia.Media.TextFormatting
         /// <param name="textLength">number of characters of the specified range</param>
         /// <returns>an array of bounding rectangles.</returns>
         public abstract IReadOnlyList<TextBounds> GetTextBounds(int firstTextSourceCharacterIndex, int textLength);
-        
-        /// <summary>
-        /// Gets the text line offset x.
-        /// </summary>
-        /// <param name="width">The line width.</param>
-        /// <param name="widthIncludingTrailingWhitespace">The paragraph width including whitespace.</param>
-        /// <param name="paragraphWidth">The paragraph width.</param>
-        /// <param name="textAlignment">The text alignment.</param>
-        /// <param name="flowDirection">The flow direction of the line.</param>
-        /// <returns>The paragraph offset.</returns>
-        internal static double GetParagraphOffsetX(double width, double widthIncludingTrailingWhitespace,
-            double paragraphWidth, TextAlignment textAlignment, FlowDirection flowDirection)
-        {
-            if (double.IsPositiveInfinity(paragraphWidth))
-            {
-                return 0;
-            }
-
-            if (flowDirection == FlowDirection.LeftToRight)
-            {
-                switch (textAlignment)
-                {
-                    case TextAlignment.Center:
-                        return Math.Max(0, (paragraphWidth - width) / 2);
-
-                    case TextAlignment.Right:
-                        return Math.Max(0, paragraphWidth - widthIncludingTrailingWhitespace);
-
-                    default:
-                        return 0;
-                }
-            }
-
-            switch (textAlignment)
-            {
-                case TextAlignment.Center:
-                    return Math.Max(0, (paragraphWidth - width) / 2);
-
-                case TextAlignment.Right:
-                    return 0;
-
-                default:
-                    return Math.Max(0, paragraphWidth - widthIncludingTrailingWhitespace);
-            }
-        }
     }
 }

src/Avalonia.Base/Media/TextFormatting/TextLineImpl.cs

@@ -10,10 +10,10 @@ namespace Avalonia.Media.TextFormatting
         private readonly double _paragraphWidth;
         private readonly TextParagraphProperties _paragraphProperties;
         private TextLineMetrics _textLineMetrics;
-        private readonly FlowDirection _flowDirection;
+        private readonly FlowDirection _resolvedFlowDirection;
 
         public TextLineImpl(List<DrawableTextRun> textRuns, int firstTextSourceIndex, int length, double paragraphWidth,
-            TextParagraphProperties paragraphProperties, FlowDirection flowDirection = FlowDirection.LeftToRight,
+            TextParagraphProperties paragraphProperties, FlowDirection resolvedFlowDirection = FlowDirection.LeftToRight,
             TextLineBreak? lineBreak = null, bool hasCollapsed = false)
         {
             FirstTextSourceIndex = firstTextSourceIndex;
@@ -25,7 +25,7 @@ namespace Avalonia.Media.TextFormatting
             _paragraphWidth = paragraphWidth;
             _paragraphProperties = paragraphProperties;
 
-            _flowDirection = flowDirection;
+            _resolvedFlowDirection = resolvedFlowDirection;
         }
 
         /// <inheritdoc/>
@@ -136,7 +136,7 @@ namespace Avalonia.Media.TextFormatting
             }
 
             var collapsedLine = new TextLineImpl(collapsedRuns, FirstTextSourceIndex, Length, _paragraphWidth, _paragraphProperties,
-                _flowDirection, TextLineBreak, true);
+                _resolvedFlowDirection, TextLineBreak, true);
 
             if (collapsedRuns.Count > 0)
             {
@@ -144,7 +144,14 @@ namespace Avalonia.Media.TextFormatting
             }
 
             return collapsedLine;
+        }
 
+        /// <inheritdoc/>
+        public override void Justify(JustificationProperties justificationProperties)
+        {
+            justificationProperties.Justify(this);
+
+            _textLineMetrics = CreateLineMetrics();
         }
 
         /// <inheritdoc/>
@@ -167,7 +174,7 @@ namespace Avalonia.Media.TextFormatting
                     return shapedTextCharacters.GlyphRun.GetCharacterHitFromDistance(distance, out _);
                 }
 
-                return _flowDirection == FlowDirection.LeftToRight ?
+                return _resolvedFlowDirection == FlowDirection.LeftToRight ?
                     new CharacterHit(FirstTextSourceIndex) :
                     new CharacterHit(FirstTextSourceIndex + Length);
             }
@@ -260,7 +267,7 @@ namespace Avalonia.Media.TextFormatting
                             //Look at the left and right edge of the current run
                             if (currentRun.IsLeftToRight)
                             {
-                                if (_flowDirection == FlowDirection.LeftToRight && (lastRun == null || lastRun.IsLeftToRight))
+                                if (_resolvedFlowDirection == FlowDirection.LeftToRight && (lastRun == null || lastRun.IsLeftToRight))
                                 {
                                     if (characterIndex <= currentPosition)
                                     {
@@ -735,7 +742,7 @@ namespace Avalonia.Media.TextFormatting
             // Build up the collection of ordered runs.
             var run = _textRuns[0];
 
-            OrderedBidiRun orderedRun = new(run, GetRunBidiLevel(run, _flowDirection));
+            OrderedBidiRun orderedRun = new(run, GetRunBidiLevel(run, _resolvedFlowDirection));
 
             var current = orderedRun;
 
@@ -743,7 +750,7 @@ namespace Avalonia.Media.TextFormatting
             {
                 run = _textRuns[i];
 
-                current.Next = new OrderedBidiRun(run, GetRunBidiLevel(run, _flowDirection));
+                current.Next = new OrderedBidiRun(run, GetRunBidiLevel(run, _resolvedFlowDirection));
 
                 current = current.Next;
             }
@@ -762,7 +769,7 @@ namespace Avalonia.Media.TextFormatting
             {
                 var currentRun = _textRuns[i];
 
-                var level = GetRunBidiLevel(currentRun, _flowDirection);
+                var level = GetRunBidiLevel(currentRun, _resolvedFlowDirection);
 
                 if (level > max)
                 {
@@ -1242,8 +1249,7 @@ namespace Avalonia.Media.TextFormatting
                 }
             }
 
-            var start = GetParagraphOffsetX(width, widthIncludingWhitespace, _paragraphWidth,
+            var start = GetParagraphOffsetX(width, widthIncludingWhitespace);
-                _paragraphProperties.TextAlignment, _paragraphProperties.FlowDirection);
 
             if (!double.IsNaN(lineHeight) && !MathUtilities.IsZero(lineHeight))
             {
@@ -1257,6 +1263,55 @@ namespace Avalonia.Media.TextFormatting
                 -ascent, trailingWhitespaceLength, width, widthIncludingWhitespace);
         }
 
+        /// <summary>
+        /// Gets the text line offset x.
+        /// </summary>
+        /// <param name="width">The line width.</param>
+        /// <param name="widthIncludingTrailingWhitespace">The paragraph width including whitespace.</param>
+
+        /// <returns>The paragraph offset.</returns>
+        private double GetParagraphOffsetX(double width, double widthIncludingTrailingWhitespace)
+        {
+            if (double.IsPositiveInfinity(_paragraphWidth))
+            {
+                return 0;
+            }
+
+            var textAlignment = _paragraphProperties.TextAlignment;
+            var paragraphFlowDirection = _paragraphProperties.FlowDirection;
+
+            switch (textAlignment)
+            {
+                case TextAlignment.Start:
+                    {
+                        textAlignment = paragraphFlowDirection == FlowDirection.LeftToRight ? TextAlignment.Left : TextAlignment.Right;
+                        break;
+                    }
+                case TextAlignment.End:
+                    {
+                        textAlignment = paragraphFlowDirection == FlowDirection.RightToLeft ? TextAlignment.Left : TextAlignment.Right;
+                        break;
+                    }
+                case TextAlignment.DetectFromContent:
+                    {
+                        textAlignment = _resolvedFlowDirection == FlowDirection.LeftToRight ? TextAlignment.Left : TextAlignment.Right;
+                        break;
+                    }
+            }
+
+            switch (textAlignment)
+            {
+                case TextAlignment.Center:
+                    return Math.Max(0, (_paragraphWidth - width) / 2);
+
+                case TextAlignment.Right:
+                    return Math.Max(0, _paragraphWidth - widthIncludingTrailingWhitespace);
+
+                default:
+                    return 0;
+            }
+        }
+
         private sealed class OrderedBidiRun
         {
             public OrderedBidiRun(DrawableTextRun run, sbyte level)

src/Avalonia.Base/Media/TextFormatting/Unicode/BiDi.trie.cs

@@ -0,0 +1,472 @@
+using System;
+namespace Avalonia.Media.TextFormatting.Unicode
+{
+   internal static class BidiTrie
+    {
+        public static ReadOnlySpan<byte> Data => new byte[]
+        {
+            0, 0, 16, 0, 0, 0, 0, 0, 64, 180, 0, 0, 116, 3, 0, 0, 124, 3, 0, 0, 132, 3, 0, 0, 140, 3, 0, 0, 164, 3, 0, 0, 172, 3, 0, 0, 180, 3, 0, 0, 188, 3, 0, 0, 148, 3, 0, 0, 156, 3, 0, 0, 148, 3, 0, 0, 156, 3, 0, 0, 148, 3, 0, 0, 156, 3, 0, 0, 148, 3, 0, 0, 156, 3, 0, 0, 148, 3, 0, 0, 156, 3, 0, 0, 148, 3, 0, 0, 156, 3, 0, 0, 194, 3, 0, 0, 202, 3, 0, 0,
+            210, 3, 0, 0, 218, 3, 0, 0, 226, 3, 0, 0, 234, 3, 0, 0, 230, 3, 0, 0, 238, 3, 0, 0, 246, 3, 0, 0, 254, 3, 0, 0, 249, 3, 0, 0, 1, 4, 0, 0, 148, 3, 0, 0, 156, 3, 0, 0, 148, 3, 0, 0, 156, 3, 0, 0, 9, 4, 0, 0, 17, 4, 0, 0, 148, 3, 0, 0, 156, 3, 0, 0, 148, 3, 0, 0, 156, 3, 0, 0, 148, 3, 0, 0, 156, 3, 0, 0, 23, 4, 0, 0, 31, 4, 0, 0, 39, 4, 0, 0,
+            47, 4, 0, 0, 55, 4, 0, 0, 63, 4, 0, 0, 69, 4, 0, 0, 77, 4, 0, 0, 82, 4, 0, 0, 90, 4, 0, 0, 93, 4, 0, 0, 101, 4, 0, 0, 108, 4, 0, 0, 116, 4, 0, 0, 122, 4, 0, 0, 130, 4, 0, 0, 129, 4, 0, 0, 137, 4, 0, 0, 145, 4, 0, 0, 153, 4, 0, 0, 24, 9, 0, 0, 31, 9, 0, 0, 35, 9, 0, 0, 62, 4, 0, 0, 199, 9, 0, 0, 62, 4, 0, 0, 22, 11, 0, 0, 207, 9, 0, 0,
+            161, 4, 0, 0, 163, 4, 0, 0, 171, 4, 0, 0, 179, 4, 0, 0, 187, 4, 0, 0, 188, 4, 0, 0, 196, 4, 0, 0, 204, 4, 0, 0, 212, 4, 0, 0, 188, 4, 0, 0, 220, 4, 0, 0, 225, 4, 0, 0, 212, 4, 0, 0, 188, 4, 0, 0, 233, 4, 0, 0, 241, 4, 0, 0, 187, 4, 0, 0, 249, 4, 0, 0, 1, 5, 0, 0, 179, 4, 0, 0, 9, 5, 0, 0, 148, 3, 0, 0, 17, 5, 0, 0, 21, 5, 0, 0, 29, 5, 0, 0,
+            31, 5, 0, 0, 39, 5, 0, 0, 47, 5, 0, 0, 187, 4, 0, 0, 188, 4, 0, 0, 55, 5, 0, 0, 179, 4, 0, 0, 11, 4, 0, 0, 59, 5, 0, 0, 196, 4, 0, 0, 179, 4, 0, 0, 187, 4, 0, 0, 148, 3, 0, 0, 67, 5, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 73, 5, 0, 0, 81, 5, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 85, 5, 0, 0, 93, 5, 0, 0, 148, 3, 0, 0, 97, 5, 0, 0, 104, 5, 0, 0,
+            148, 3, 0, 0, 112, 5, 0, 0, 120, 5, 0, 0, 127, 5, 0, 0, 8, 5, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 135, 5, 0, 0, 143, 5, 0, 0, 151, 5, 0, 0, 159, 5, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 167, 5, 0, 0, 148, 3, 0, 0, 175, 5, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 183, 5, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 191, 5, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 199, 5, 0, 0, 200, 4, 0, 0, 200, 4, 0, 0, 200, 4, 0, 0, 148, 3, 0, 0, 205, 5, 0, 0, 213, 5, 0, 0, 175, 5, 0, 0, 221, 5, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 228, 5, 0, 0,
+            185, 4, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 236, 5, 0, 0, 244, 5, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 246, 5, 0, 0, 231, 9, 0, 0, 254, 5, 0, 0, 148, 3, 0, 0, 5, 6, 0, 0, 13, 6, 0, 0, 148, 3, 0, 0, 21, 6, 0, 0, 27, 11, 0, 0, 148, 3, 0, 0, 248, 4, 0, 0, 29, 6, 0, 0, 9, 5, 0, 0, 37, 6, 0, 0, 11, 4, 0, 0, 45, 6, 0, 0,
+            148, 3, 0, 0, 52, 6, 0, 0, 148, 3, 0, 0, 57, 6, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 63, 6, 0, 0, 71, 6, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 226, 3, 0, 0, 226, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 78, 6, 0, 0, 86, 6, 0, 0, 90, 6, 0, 0, 98, 6, 0, 0, 163, 9, 0, 0, 223, 9, 0, 0, 106, 6, 0, 0, 114, 6, 0, 0, 171, 9, 0, 0, 175, 9, 0, 0, 130, 5, 0, 0, 122, 6, 0, 0, 130, 6, 0, 0, 138, 6, 0, 0, 148, 3, 0, 0, 146, 6, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0,
+            147, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 237, 9, 0, 0, 152, 6, 0, 0, 148, 3, 0, 0, 158, 6, 0, 0, 165, 6, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 11, 7, 0, 0, 243, 9, 0, 0, 231, 9, 0, 0, 171, 6, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 178, 6, 0, 0, 231, 9, 0, 0,
+            231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 183, 6, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 251, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 2, 10, 0, 0, 9, 10, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 17, 10, 0, 0, 231, 9, 0, 0, 24, 10, 0, 0, 31, 10, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0,
+            39, 10, 0, 0, 45, 10, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 191, 6, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 199, 6, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 226, 3, 0, 0, 231, 9, 0, 0, 53, 10, 0, 0, 56, 10, 0, 0, 148, 3, 0, 0,
+            64, 10, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 71, 10, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 79, 10, 0, 0, 85, 10, 0, 0, 207, 6, 0, 0, 215, 6, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 223, 6, 0, 0, 183, 5, 0, 0, 148, 3, 0, 0, 187, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 231, 9, 0, 0, 198, 6, 0, 0, 201, 3, 0, 0, 148, 3, 0, 0, 231, 6, 0, 0, 239, 6, 0, 0, 148, 3, 0, 0, 247, 6, 0, 0, 255, 6, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 3, 7, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 246, 5, 0, 0, 186, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            231, 9, 0, 0, 231, 9, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 231, 6, 0, 0, 231, 9, 0, 0, 11, 7, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 16, 7, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 21, 7, 0, 0, 29, 7, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 99, 5, 0, 0, 231, 9, 0, 0, 245, 5, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 37, 7, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 45, 7, 0, 0, 52, 7, 0, 0, 148, 3, 0, 0,
+            59, 7, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 57, 5, 0, 0, 67, 7, 0, 0, 148, 3, 0, 0, 75, 7, 0, 0, 82, 7, 0, 0, 148, 3, 0, 0, 161, 4, 0, 0, 87, 7, 0, 0, 148, 3, 0, 0, 186, 4, 0, 0, 148, 3, 0, 0, 95, 7, 0, 0, 103, 7, 0, 0, 188, 4, 0, 0, 148, 3, 0, 0, 107, 7, 0, 0, 187, 4, 0, 0, 115, 7, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 251, 5, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 122, 7, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 126, 7, 0, 0, 42, 9, 0, 0, 46, 9, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0,
+            62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 93, 10, 0, 0, 101, 10, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 106, 10, 0, 0, 110, 10, 0, 0, 118, 10, 0, 0, 179, 9, 0, 0, 183, 9, 0, 0, 155, 9, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 246, 10, 0, 0, 115, 9, 0, 0, 134, 7, 0, 0, 142, 7, 0, 0, 150, 7, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            191, 9, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 80, 14, 0, 0, 80, 14, 0, 0, 144, 14, 0, 0, 208, 14, 0, 0, 80, 14, 0, 0, 80, 14, 0, 0, 80, 14, 0, 0, 80, 14, 0, 0, 80, 14, 0, 0, 80, 14, 0, 0, 8, 15, 0, 0, 72, 15, 0, 0, 136, 15, 0, 0, 152, 15, 0, 0, 216, 15, 0, 0, 228, 15, 0, 0, 80, 14, 0, 0,
+            80, 14, 0, 0, 36, 16, 0, 0, 80, 14, 0, 0, 80, 14, 0, 0, 80, 14, 0, 0, 92, 16, 0, 0, 156, 16, 0, 0, 220, 16, 0, 0, 20, 17, 0, 0, 72, 17, 0, 0, 116, 17, 0, 0, 176, 17, 0, 0, 232, 17, 0, 0, 4, 18, 0, 0, 68, 18, 0, 0, 32, 10, 0, 0, 192, 12, 0, 0, 96, 10, 0, 0, 159, 10, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 223, 10, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 31, 11, 0, 0, 160, 1, 0, 0, 69, 11, 0, 0, 128, 11, 0, 0, 192, 11, 0, 0, 0, 12, 0, 0, 253, 12, 0, 0, 64, 12, 0, 0, 61, 13, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 128, 12, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 128, 12, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 128, 12, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 128, 12, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 128, 12, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 128, 12, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 128, 12, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 128, 12, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 128, 12, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 128, 12, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 128, 12, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 128, 12, 0, 0, 125, 13, 0, 0, 141, 13, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 128, 12, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0,
+            160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 160, 1, 0, 0, 128, 12, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 158, 7, 0, 0, 148, 3, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 166, 7, 0, 0, 183, 5, 0, 0, 148, 3, 0, 0, 180, 4, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 123, 9, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 174, 7, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 187, 4, 0, 0, 181, 7, 0, 0, 188, 7, 0, 0, 195, 7, 0, 0, 11, 4, 0, 0, 203, 7, 0, 0, 9, 5, 0, 0, 148, 3, 0, 0, 161, 4, 0, 0, 210, 7, 0, 0, 148, 3, 0, 0, 216, 7, 0, 0, 11, 4, 0, 0, 221, 7, 0, 0, 229, 7, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 234, 7, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 199, 6, 0, 0, 242, 7, 0, 0, 11, 4, 0, 0, 59, 5, 0, 0, 30, 5, 0, 0, 249, 7, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 181, 7, 0, 0, 1, 8, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 9, 8, 0, 0, 17, 8, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 21, 8, 0, 0, 29, 8, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 37, 8, 0, 0, 30, 5, 0, 0, 170, 7, 0, 0, 148, 3, 0, 0, 45, 8, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 167, 5, 0, 0, 53, 8, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 58, 8, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 65, 8, 0, 0, 73, 8, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 76, 8, 0, 0, 30, 5, 0, 0, 84, 8, 0, 0, 88, 8, 0, 0, 96, 8, 0, 0, 148, 3, 0, 0, 103, 8, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 110, 8, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 118, 8, 0, 0, 124, 8, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 130, 8, 0, 0, 138, 8, 0, 0, 148, 3, 0, 0, 142, 8, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 61, 5, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 8, 0, 0, 156, 8, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 161, 8, 0, 0, 148, 3, 0, 0, 167, 8, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 217, 7, 0, 0, 148, 3, 0, 0, 173, 8, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 181, 8, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 213, 4, 0, 0, 254, 10, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 226, 3, 0, 0, 35, 11, 0, 0, 189, 8, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 196, 8, 0, 0, 204, 8, 0, 0, 210, 8, 0, 0, 148, 3, 0, 0, 216, 8, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 126, 10, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 240, 9, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 187, 3, 0, 0, 148, 3, 0, 0, 153, 7, 0, 0, 148, 3, 0, 0, 182, 3, 0, 0, 148, 3, 0, 0, 156, 7, 0, 0, 148, 3, 0, 0, 224, 8, 0, 0, 131, 9, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 226, 3, 0, 0, 232, 8, 0, 0, 226, 3, 0, 0, 239, 8, 0, 0, 246, 8, 0, 0, 43, 11, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            51, 11, 0, 0, 59, 11, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 167, 8, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 5, 8, 0, 0, 148, 3, 0, 0, 254, 8, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 231, 9, 0, 0, 142, 10, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 71, 10, 0, 0, 147, 10, 0, 0, 151, 10, 0, 0, 79, 10, 0, 0, 6, 9, 0, 0, 182, 3, 0, 0, 148, 3, 0, 0,
+            12, 9, 0, 0, 148, 3, 0, 0, 155, 7, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 156, 6, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0,
+            231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 156, 10, 0, 0, 166, 7, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 71, 10, 0, 0, 231, 9, 0, 0,
+            231, 9, 0, 0, 164, 10, 0, 0, 172, 10, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 16, 9, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0,
+            54, 9, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 62, 9, 0, 0, 66, 9, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 74, 9, 0, 0, 41, 4, 0, 0, 76, 9, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0,
+            41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 62, 4, 0, 0, 215, 9, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 84, 9, 0, 0, 41, 4, 0, 0, 92, 9, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 46, 9, 0, 0,
+            137, 4, 0, 0, 50, 9, 0, 0, 100, 9, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 104, 9, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 107, 9, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0,
+            41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 46, 9, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 50, 9, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0,
+            41, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 62, 4, 0, 0, 134, 10, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 41, 4, 0, 0, 142, 10, 0, 0, 231, 9, 0, 0, 180, 10, 0, 0, 231, 9, 0, 0, 188, 10, 0, 0, 193, 10, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 71, 10, 0, 0, 201, 10, 0, 0, 209, 10, 0, 0, 214, 10, 0, 0, 222, 10, 0, 0, 230, 10, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 231, 9, 0, 0, 238, 10, 0, 0, 231, 9, 0, 0, 243, 9, 0, 0, 139, 9, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0,
+            148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 148, 3, 0, 0, 16, 9, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 226, 3, 0, 0, 226, 3, 0, 0, 226, 3, 0, 0, 226, 3, 0, 0, 226, 3, 0, 0, 226, 3, 0, 0, 226, 3, 0, 0, 14, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0,
+            6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0,
+            6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0,
+            6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 6, 11, 0, 0, 115, 3, 1, 0, 115, 3, 1, 0, 115, 3, 1, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 84, 0, 0, 0, 12, 0,
+            0, 0, 84, 0, 0, 0, 88, 0, 0, 0, 12, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 12, 0, 0, 0, 12, 0, 0, 0, 12, 0, 0, 0, 84, 0, 0, 0, 88, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 32, 0,
+            0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 56, 0, 0, 0, 56, 0, 41, 0, 58, 0, 40, 0, 57, 0, 0, 0, 56, 0, 0, 0, 28, 0, 0, 0, 20, 0, 0, 0, 28, 0, 0, 0, 20, 0, 0, 0, 20, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 20, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 93, 0, 58, 0, 0, 0, 56, 0, 91, 0, 57, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 125, 0, 58, 0, 0, 0, 56, 0, 123, 0, 57, 0, 0, 0, 56, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 12, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0,
+            0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 20, 0, 0, 0, 56, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 16, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 32, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0,
+            0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0,
+            0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 4, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 4, 0, 0, 0, 20, 0, 0, 0, 4, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 32, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 52, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 8, 0, 0, 0, 56, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 56, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0,
+            0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 52, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 4, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0,
+            0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 32, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 59, 15, 58, 0, 58, 15, 57, 0, 61, 15, 58, 0, 60, 15, 57, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 156, 22, 58, 0, 155, 22, 57, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 16, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0,
+            0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 88, 0, 0, 0, 88, 0, 0, 0, 88, 0, 0, 0, 88, 0, 0, 0, 88, 0, 0, 0, 88, 0, 0, 0, 88, 0, 0, 0, 88, 0, 0, 0, 88, 0, 0, 0, 88, 0,
+            0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0,
+            0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 44, 0, 0, 0, 76, 0, 0, 0, 36, 0, 0, 0, 64, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 28, 0, 0, 0, 28, 0, 0, 0, 56, 0,
+            126, 32, 58, 0, 125, 32, 57, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 28, 0, 0, 0, 28, 0, 0, 0, 56, 0, 142, 32, 58, 0, 141, 32, 57, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0,
+            0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 42, 35, 58, 0, 41, 35, 57, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0,
+            0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0,
+            0, 0, 88, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 48, 58, 0, 8, 48, 57, 0, 11, 48, 58, 0, 10, 48, 57, 0, 13, 48, 58, 0, 12, 48, 57, 0, 15, 48, 58, 0, 14, 48, 57, 0, 17, 48, 58, 0, 16, 48, 57, 0, 0, 0, 56, 0, 0, 0, 56, 0, 21, 48, 58, 0, 20, 48, 57, 0, 23, 48, 58, 0, 22, 48, 57, 0, 25, 48, 58, 0,
+            24, 48, 57, 0, 27, 48, 58, 0, 26, 48, 57, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 56, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 61, 255, 58, 0, 0, 0, 56, 0, 59, 255, 57, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 93, 255, 58, 0, 0, 0, 56, 0, 91, 255, 57, 0, 0, 0, 56, 0, 96, 255, 58, 0, 95, 255, 57, 0, 0, 0, 56, 0, 99, 255, 58, 0, 98, 255, 57, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 0,
+            0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0,
+            0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0,
+            0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0,
+            0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 28, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0,
+            0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0,
+            0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 56, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 68, 0,
+            0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0,
+            0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0,
+            0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0,
+            0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0,
+            0, 0, 68, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0,
+            0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 56, 0, 0, 0, 56, 0, 9, 255, 58, 0, 8, 255, 57, 0, 0, 0, 56, 0, 0, 0, 28, 0, 0, 0, 20, 0, 0, 0, 28, 0, 0, 0, 20, 0, 0, 0, 20, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0,
+            0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 20, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 52, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0,
+            0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0,
+            0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, 24, 0,
+            0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 28, 0, 0, 0, 32, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 28, 0, 0, 0, 28, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 32, 0, 0, 0, 32, 0,
+            0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 88, 0, 0, 0, 12, 0, 0, 0, 40, 0, 0, 0, 72, 0, 0, 0, 60, 0, 0, 0, 48, 0, 0, 0, 80, 0, 0, 0, 20, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0,
+            0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 20, 0, 0, 0, 56, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 20, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 90, 254, 58, 0, 89, 254, 57, 0, 92, 254, 58, 0, 91, 254, 57, 0, 94, 254, 58, 0, 93, 254, 57, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 16, 0,
+            0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 8, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0,
+            0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 20, 0, 70, 32, 58, 0, 69, 32, 57, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 88, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            9, 35, 58, 0, 8, 35, 57, 0, 11, 35, 58, 0, 10, 35, 57, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 105, 39, 58, 0, 104, 39, 57, 0, 107, 39, 58, 0, 106, 39, 57, 0, 109, 39, 58, 0, 108, 39, 57, 0, 111, 39, 58, 0, 110, 39, 57, 0, 113, 39, 58, 0, 112, 39, 57, 0, 115, 39, 58, 0, 114, 39, 57, 0, 117, 39, 58, 0, 116, 39, 57, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 198, 39, 58, 0, 197, 39, 57, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 231, 39, 58, 0, 230, 39, 57, 0, 233, 39, 58, 0, 232, 39, 57, 0, 235, 39, 58, 0, 234, 39, 57, 0, 237, 39, 58, 0, 236, 39, 57, 0, 239, 39, 58, 0, 238, 39, 57, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 132, 41, 58, 0, 131, 41, 57, 0, 134, 41, 58, 0, 133, 41, 57, 0, 136, 41, 58, 0, 135, 41, 57, 0, 138, 41, 58, 0, 137, 41, 57, 0, 140, 41, 58, 0, 139, 41, 57, 0, 144, 41, 58, 0,
+            143, 41, 57, 0, 142, 41, 58, 0, 141, 41, 57, 0, 146, 41, 58, 0, 145, 41, 57, 0, 148, 41, 58, 0, 147, 41, 57, 0, 150, 41, 58, 0, 149, 41, 57, 0, 152, 41, 58, 0, 151, 41, 57, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 217, 41, 58, 0, 216, 41, 57, 0, 219, 41, 58, 0, 218, 41, 57, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 253, 41, 58, 0, 252, 41, 57, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 35, 46, 58, 0, 34, 46, 57, 0, 37, 46, 58, 0, 36, 46, 57, 0, 39, 46, 58, 0, 38, 46, 57, 0, 41, 46, 58, 0, 40, 46, 57, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 86, 46, 58, 0, 85, 46, 57, 0, 88, 46, 58, 0, 87, 46, 57, 0, 90, 46, 58, 0, 89, 46, 57, 0, 92, 46, 58, 0, 91, 46, 57, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 56, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 56, 0,
+            0, 0, 56, 0, 0, 0, 56, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0,
+            0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0,
+            0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0,
+            0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0,
+            0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        };
+    }
+}

src/Avalonia.Base/Media/TextFormatting/Unicode/BiDiAlgorithm.cs

@@ -66,7 +66,7 @@ namespace Avalonia.Media.TextFormatting.Unicode
         /// The forward mapping maps the start index to the end index.
         /// The reverse mapping maps the end index to the start index.
         /// </remarks>
-        private readonly Dictionary<int, int> _isolatePairs = new Dictionary<int, int>();
+        private readonly BidiDictionary<int, int> _isolatePairs = new BidiDictionary<int, int>();
 
         /// <summary>
         /// The working BiDi classes
@@ -188,12 +188,6 @@ namespace Avalonia.Media.TextFormatting.Unicode
         {
         }
 
-        /// <summary>
-        /// Gets a per-thread instance that can be re-used as often
-        /// as necessary.
-        /// </summary>
-        public static ThreadLocal<BidiAlgorithm> Instance { get; } = new ThreadLocal<BidiAlgorithm>(() => new BidiAlgorithm());
-
         /// <summary>
         /// Gets the resolved levels.
         /// </summary>
@@ -1414,35 +1408,37 @@ namespace Avalonia.Media.TextFormatting.Unicode
         /// Sets the direction of a bracket pair, including setting the direction of
         /// NSM's inside the brackets and following.
         /// </summary>
-        /// <param name="bracketPair">The paired brackets</param>
+        /// <param name="pairedBracket">The paired brackets</param>
         /// <param name="direction">The resolved direction for the bracket pair</param>
-        private void SetPairedBracketDirection(in BracketPair bracketPair, BidiClass direction)
+        private void SetPairedBracketDirection(in BracketPair pairedBracket, BidiClass direction)
         {
             // Set the direction of the brackets
-            _runResolvedClasses[bracketPair.OpeningIndex] = direction;
+            _runResolvedClasses[pairedBracket.OpeningIndex] = direction;
-            _runResolvedClasses[bracketPair.ClosingIndex] = direction;
+            _runResolvedClasses[pairedBracket.ClosingIndex] = direction;
 
             // Set the directionality of NSM's inside the brackets
-            for (var i = bracketPair.OpeningIndex + 1; i < bracketPair.ClosingIndex; i++)
+            // BN  characters (such as ZWJ or ZWSP) that appear between the base bracket character
+            // and the nonspacing mark should be ignored.
+            for (int i = pairedBracket.OpeningIndex + 1; i < pairedBracket.ClosingIndex; i++)
             {
                 if (_runOriginalClasses[i] == BidiClass.NonspacingMark)
                 {
                     _runOriginalClasses[i] = direction;
                 }
-                else
+                else if (_runOriginalClasses[i] != BidiClass.BoundaryNeutral)
                 {
                     break;
                 }
             }
 
             // Set the directionality of NSM's following the brackets
-            for (var i = bracketPair.ClosingIndex + 1; i < _runLength; i++)
+            for (int i = pairedBracket.ClosingIndex + 1; i < _runLength; i++)
             {
                 if (_runOriginalClasses[i] == BidiClass.NonspacingMark)
                 {
-                    _runResolvedClasses[i] = direction;
+                    _runOriginalClasses[i] = direction;
                 }
-                else
+                else if (_runOriginalClasses[i] != BidiClass.BoundaryNeutral)
                 {
                     break;
                 }

src/Avalonia.Base/Media/TextFormatting/Unicode/BiDiData.cs

@@ -18,17 +18,12 @@ namespace Avalonia.Media.TextFormatting.Unicode
         private ArrayBuilder<BidiClass> _savedClasses;
         private ArrayBuilder<BidiPairedBracketType> _savedPairedBracketTypes;
         private ArrayBuilder<sbyte> _tempLevelBuffer;
-        
+
-        public BidiData(sbyte paragraphEmbeddingLevel = 0)
+        public BidiData(sbyte paragraphEmbeddingLevel)
         {
             ParagraphEmbeddingLevel = paragraphEmbeddingLevel;
         }
 
-        public BidiData(ReadOnlySlice<char> text, sbyte paragraphEmbeddingLevel = 0) : this(paragraphEmbeddingLevel)
-        {
-            Append(text);
-        }
-        
         public sbyte ParagraphEmbeddingLevel { get; private set; }
 
         public bool HasBrackets { get; private set; }
@@ -64,13 +59,23 @@ namespace Avalonia.Media.TextFormatting.Unicode
         /// </remarks>
         public ArraySlice<int> PairedBracketValues { get; private set; }
 
+        /// <summary>
+        /// Appends text to the bidi data.
+        /// </summary>
+        /// <param name="text">The text to process.</param>
         public void Append(ReadOnlySlice<char> text)
         {
             _classes.Add(text.Length);
             _pairedBracketTypes.Add(text.Length);
             _pairedBracketValues.Add(text.Length);
 
-            var i = Length;
+            // Resolve the BidiCharacterType, paired bracket type and paired
+            // bracket values for all code points
+            HasBrackets = false;
+            HasEmbeddings = false;
+            HasIsolates = false;
+
+            int i = Length;
              
             var codePointEnumerator = new CodepointEnumerator(text);
             
@@ -115,13 +120,13 @@ namespace Avalonia.Media.TextFormatting.Unicode
                     // Opening bracket types can never have a null pairing.
                     codepoint.TryGetPairedBracket(out var paired);
                     
-                    _pairedBracketValues[i] = Codepoint.GetCanonicalType(paired).Value;
+                    _pairedBracketValues[i] = (int)Codepoint.GetCanonicalType(paired).Value;
 
                     HasBrackets = true;
                 }
                 else if (pbt == BidiPairedBracketType.Close)
                 {
-                    _pairedBracketValues[i] = Codepoint.GetCanonicalType(codepoint).Value;
+                    _pairedBracketValues[i] = (int)Codepoint.GetCanonicalType(codepoint).Value;
                     
                     HasBrackets = true;
                 }

src/Avalonia.Base/Media/TextFormatting/Unicode/Codepoint.cs

@@ -5,50 +5,52 @@ namespace Avalonia.Media.TextFormatting.Unicode
 {
     public readonly struct Codepoint
     {
+        private readonly uint _value;
+
         /// <summary>
         /// The replacement codepoint that is used for non supported values.
         /// </summary>
         public static readonly Codepoint ReplacementCodepoint = new Codepoint('\uFFFD');
 
-        public Codepoint(int value)
+        public Codepoint(uint value)
         {
-            Value = value;
+            _value = value;
         }
 
         /// <summary>
         /// Get the codepoint's value.
         /// </summary>
-        public int Value { get; }
+        public uint Value => _value;
 
         /// <summary>
         /// Gets the <see cref="Unicode.GeneralCategory"/>.
         /// </summary>
-        public GeneralCategory GeneralCategory => UnicodeData.GetGeneralCategory(Value);
+        public GeneralCategory GeneralCategory => UnicodeData.GetGeneralCategory(_value);
 
         /// <summary>
         /// Gets the <see cref="Unicode.Script"/>.
         /// </summary>
-        public Script Script => UnicodeData.GetScript(Value);
+        public Script Script => UnicodeData.GetScript(_value);
 
         /// <summary>
         /// Gets the <see cref="Unicode.BidiClass"/>.
         /// </summary>
-        public BidiClass BiDiClass => UnicodeData.GetBiDiClass(Value);
+        public BidiClass BiDiClass => UnicodeData.GetBiDiClass(_value);
 
         /// <summary>
         /// Gets the <see cref="Unicode.BidiPairedBracketType"/>.
         /// </summary>
-        public BidiPairedBracketType PairedBracketType => UnicodeData.GetBiDiPairedBracketType(Value);
+        public BidiPairedBracketType PairedBracketType => UnicodeData.GetBiDiPairedBracketType(_value);
         
         /// <summary>
         /// Gets the <see cref="Unicode.LineBreakClass"/>.
         /// </summary>
-        public LineBreakClass LineBreakClass => UnicodeData.GetLineBreakClass(Value);
+        public LineBreakClass LineBreakClass => UnicodeData.GetLineBreakClass(_value);
 
         /// <summary>
         /// Gets the <see cref="GraphemeBreakClass"/>.
         /// </summary>
-        public GraphemeBreakClass GraphemeBreakClass => UnicodeData.GetGraphemeClusterBreak(Value);
+        public GraphemeBreakClass GraphemeBreakClass => UnicodeData.GetGraphemeClusterBreak(_value);
 
         /// <summary>
         /// Determines whether this <see cref="Codepoint"/> is a break char.
@@ -60,7 +62,7 @@ namespace Avalonia.Media.TextFormatting.Unicode
         {
             get
             {
-                switch (Value)
+                switch (_value)
                 {
                     case '\u000A':
                     case '\u000B':
@@ -109,12 +111,12 @@ namespace Avalonia.Media.TextFormatting.Unicode
         [MethodImpl(MethodImplOptions.AggressiveInlining)]
         internal static Codepoint GetCanonicalType(Codepoint codePoint)
         {
-            if (codePoint.Value == 0x3008)
+            if (codePoint._value == 0x3008)
             {
                 return new Codepoint(0x2329);
             }
 
-            if (codePoint.Value == 0x3009)
+            if (codePoint._value == 0x3009)
             {
                 return new Codepoint(0x232A);
             }
@@ -141,19 +143,19 @@ namespace Avalonia.Media.TextFormatting.Unicode
                 return false;
             }
 
-            codepoint = UnicodeData.GetBiDiPairedBracket(Value);
+            codepoint = UnicodeData.GetBiDiPairedBracket(_value);
 
             return true;
         }
 
         public static implicit operator int(Codepoint codepoint)
         {
-            return codepoint.Value;
+            return (int)codepoint._value;
         }
 
         public static implicit operator uint(Codepoint codepoint)
         {
-            return (uint)codepoint.Value;
+            return codepoint._value;
         }
 
         /// <summary>
@@ -191,7 +193,7 @@ namespace Avalonia.Media.TextFormatting.Unicode
                 if (0xDC00 <= low && low <= 0xDFFF)
                 {
                     count = 2;
-                    return new Codepoint((hi - 0xD800) * 0x400 + (low - 0xDC00) + 0x10000);
+                    return new Codepoint((uint)((hi - 0xD800) * 0x400 + (low - 0xDC00) + 0x10000));
                 }
 
                 return ReplacementCodepoint;
@@ -212,7 +214,7 @@ namespace Avalonia.Media.TextFormatting.Unicode
                 if (0xD800 <= hi && hi <= 0xDBFF)
                 {
                     count = 2;
-                    return new Codepoint((hi - 0xD800) * 0x400 + (low - 0xDC00) + 0x10000);
+                    return new Codepoint((uint)((hi - 0xD800) * 0x400 + (low - 0xDC00) + 0x10000));
                 }
 
                 return ReplacementCodepoint;
@@ -220,5 +222,13 @@ namespace Avalonia.Media.TextFormatting.Unicode
 
             return new Codepoint(code);
         }
+
+        /// <summary>
+        /// Returns <see langword="true"/> if <paramref name="value"/> is between
+        /// <paramref name="lowerBound"/> and <paramref name="upperBound"/>, inclusive.
+        /// </summary>
+        [MethodImpl(MethodImplOptions.AggressiveInlining)]
+        public static bool IsInRangeInclusive(Codepoint cp, uint lowerBound, uint upperBound)
+            => (cp._value - lowerBound) <= (upperBound - lowerBound);
     }
 }

src/Avalonia.Base/Media/TextFormatting/Unicode/GraphemeBreak.cs

@@ -0,0 +1,7 @@
+namespace Avalonia.Media.TextFormatting.Unicode
+{
+    internal static class GraphemeBreak
+    {
+        public static byte[] Data => new byte[0];
+    }
+}

src/Avalonia.Base/Media/TextFormatting/Unicode/GraphemeBreak.trie.cs

@@ -0,0 +1,409 @@
+using System;
+namespace Avalonia.Media.TextFormatting.Unicode
+{
+   internal static class GraphemeBreakTrie
+    {
+        public static ReadOnlySpan<byte> Data => new byte[]
+        {
+            0, 16, 14, 0, 0, 0, 0, 0, 144, 155, 0, 0, 89, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0, 113, 3, 0, 0, 137, 3, 0, 0, 145, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0,
+            97, 3, 0, 0, 105, 3, 0, 0, 153, 3, 0, 0, 161, 3, 0, 0, 157, 3, 0, 0, 165, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0, 173, 3, 0, 0, 181, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0, 185, 3, 0, 0, 193, 3, 0, 0, 201, 3, 0, 0,
+            209, 3, 0, 0, 217, 3, 0, 0, 225, 3, 0, 0, 231, 3, 0, 0, 239, 3, 0, 0, 97, 3, 0, 0, 105, 3, 0, 0, 244, 3, 0, 0, 252, 3, 0, 0, 1, 4, 0, 0, 9, 4, 0, 0, 15, 4, 0, 0, 23, 4, 0, 0, 22, 4, 0, 0, 30, 4, 0, 0, 35, 4, 0, 0, 43, 4, 0, 0, 176, 4, 0, 0, 183, 4, 0, 0, 187, 4, 0, 0, 97, 3, 0, 0, 51, 4, 0, 0, 97, 3, 0, 0, 194, 4, 0, 0, 59, 4, 0, 0,
+            202, 4, 0, 0, 204, 4, 0, 0, 212, 4, 0, 0, 220, 4, 0, 0, 228, 4, 0, 0, 229, 4, 0, 0, 237, 4, 0, 0, 245, 4, 0, 0, 253, 4, 0, 0, 254, 4, 0, 0, 6, 5, 0, 0, 11, 5, 0, 0, 253, 4, 0, 0, 254, 4, 0, 0, 19, 5, 0, 0, 27, 5, 0, 0, 228, 4, 0, 0, 35, 5, 0, 0, 43, 5, 0, 0, 220, 4, 0, 0, 51, 5, 0, 0, 203, 4, 0, 0, 59, 5, 0, 0, 97, 3, 0, 0, 67, 5, 0, 0,
+            35, 5, 0, 0, 75, 5, 0, 0, 220, 4, 0, 0, 228, 4, 0, 0, 81, 5, 0, 0, 89, 5, 0, 0, 220, 4, 0, 0, 97, 5, 0, 0, 99, 5, 0, 0, 67, 4, 0, 0, 220, 4, 0, 0, 228, 4, 0, 0, 97, 3, 0, 0, 107, 5, 0, 0, 88, 8, 0, 0, 97, 3, 0, 0, 115, 5, 0, 0, 122, 5, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 126, 5, 0, 0, 134, 5, 0, 0, 97, 3, 0, 0, 138, 5, 0, 0, 145, 5, 0, 0,
+            97, 3, 0, 0, 153, 5, 0, 0, 161, 5, 0, 0, 168, 5, 0, 0, 50, 5, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 176, 5, 0, 0, 184, 5, 0, 0, 192, 5, 0, 0, 200, 5, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 124, 8, 0, 0, 124, 8, 0, 0, 124, 8, 0, 0, 133, 8, 0, 0, 133, 8, 0, 0, 139, 8, 0, 0, 157, 8, 0, 0, 157, 8, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 182, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 208, 5, 0, 0, 214, 5, 0, 0, 23, 5, 0, 0, 23, 5, 0, 0, 97, 3, 0, 0, 220, 5, 0, 0, 228, 5, 0, 0, 97, 3, 0, 0, 127, 4, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 79, 5, 0, 0,
+            233, 5, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 241, 5, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 248, 5, 0, 0, 97, 3, 0, 0, 255, 5, 0, 0, 7, 6, 0, 0, 97, 3, 0, 0, 149, 3, 0, 0, 14, 4, 0, 0, 97, 3, 0, 0, 15, 6, 0, 0, 18, 6, 0, 0, 26, 6, 0, 0, 32, 6, 0, 0, 40, 6, 0, 0, 48, 6, 0, 0,
+            97, 3, 0, 0, 55, 6, 0, 0, 97, 3, 0, 0, 62, 6, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 68, 6, 0, 0, 76, 6, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 153, 3, 0, 0, 153, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 133, 4, 0, 0, 139, 4, 0, 0, 94, 6, 0, 0, 93, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 149, 3, 0, 0, 171, 5, 0, 0, 97, 3, 0, 0, 180, 8, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 187, 8, 0, 0, 194, 8, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 197, 8, 0, 0, 204, 8, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 204, 8, 0, 0, 97, 3, 0, 0, 209, 8, 0, 0, 215, 8, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 223, 8, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 229, 8, 0, 0, 237, 8, 0, 0, 239, 8, 0, 0, 247, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 3, 9, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 10, 9, 0, 0, 17, 9, 0, 0, 24, 9, 0, 0, 32, 9, 0, 0, 35, 9, 0, 0, 43, 9, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 51, 9, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 58, 9, 0, 0, 97, 3, 0, 0, 66, 9, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 83, 6, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 226, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 153, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 89, 6, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 6, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 72, 9, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 104, 6, 0, 0, 24, 4, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 140, 5, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 112, 6, 0, 0, 120, 6, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 237, 7, 0, 0, 93, 8, 0, 0, 128, 6, 0, 0, 136, 6, 0, 0, 97, 3, 0, 0, 144, 6, 0, 0, 151, 6, 0, 0, 125, 8, 0, 0, 202, 4, 0, 0, 156, 6, 0, 0, 101, 8, 0, 0, 164, 6, 0, 0, 97, 3, 0, 0, 170, 6, 0, 0, 178, 6, 0, 0, 182, 6, 0, 0, 97, 3, 0, 0, 190, 6, 0, 0, 5, 4, 0, 0, 198, 6, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 206, 6, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0,
+            166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0,
+            170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0,
+            167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0,
+            171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0,
+            168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0,
+            172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0,
+            169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0,
+            166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0,
+            170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0,
+            167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0,
+            171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0,
+            168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0,
+            172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0, 169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 172, 8, 0, 0, 166, 8, 0, 0, 167, 8, 0, 0, 168, 8, 0, 0,
+            169, 8, 0, 0, 170, 8, 0, 0, 171, 8, 0, 0, 147, 8, 0, 0, 154, 8, 0, 0, 158, 8, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 210, 6, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 165, 3, 0, 0, 165, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 113, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 24, 4, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            147, 4, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 228, 13, 0, 0, 228, 13, 0, 0, 36, 14, 0, 0, 132, 13, 0, 0, 132, 13, 0, 0, 132, 13, 0, 0, 132, 13, 0, 0, 132, 13, 0, 0, 132, 13, 0, 0, 132, 13, 0, 0, 132, 13, 0, 0, 132, 13, 0, 0, 100, 14, 0, 0, 116, 14, 0, 0, 132, 13, 0, 0, 132, 13, 0, 0, 132, 13, 0, 0,
+            132, 13, 0, 0, 180, 14, 0, 0, 132, 13, 0, 0, 132, 13, 0, 0, 132, 13, 0, 0, 228, 14, 0, 0, 36, 15, 0, 0, 100, 15, 0, 0, 156, 15, 0, 0, 132, 13, 0, 0, 208, 15, 0, 0, 4, 16, 0, 0, 60, 16, 0, 0, 88, 16, 0, 0, 140, 16, 0, 0, 64, 11, 0, 0, 112, 11, 0, 0, 226, 9, 0, 0, 33, 10, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 89, 10, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 173, 11, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 123, 10, 0, 0, 149, 1, 0, 0, 237, 11, 0, 0, 176, 10, 0, 0, 40, 12, 0, 0, 104, 12, 0, 0, 162, 12, 0, 0, 226, 12, 0, 0, 34, 13, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0,
+            149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 149, 1, 0, 0, 240, 10, 0, 0, 0, 11, 0, 0, 6, 7, 0, 0, 7, 4, 0, 0, 16, 4, 0, 0, 10, 7, 0, 0, 40, 6, 0, 0, 73, 4, 0, 0, 81, 4, 0, 0, 97, 3, 0, 0, 17, 4, 0, 0, 16, 7, 0, 0, 108, 8, 0, 0, 22, 7, 0, 0, 40, 6, 0, 0, 27, 7, 0, 0, 89, 4, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            35, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 226, 3, 0, 0, 43, 7, 0, 0, 97, 5, 0, 0, 99, 5, 0, 0, 51, 7, 0, 0, 59, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 65, 7, 0, 0, 73, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 81, 7, 0, 0, 89, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 94, 7, 0, 0, 102, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 110, 7, 0, 0, 34, 4, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 118, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 182, 3, 0, 0, 126, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 131, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 93, 4, 0, 0, 101, 4, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 138, 7, 0, 0, 146, 7, 0, 0, 154, 7, 0, 0, 105, 4, 0, 0, 161, 7, 0, 0, 97, 3, 0, 0, 113, 4, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 168, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 176, 7, 0, 0, 182, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 188, 7, 0, 0, 121, 4, 0, 0, 97, 3, 0, 0, 196, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 202, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 154, 4, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 238, 7, 0, 0, 96, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            161, 4, 0, 0, 254, 7, 0, 0, 252, 6, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 6, 8, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 137, 3, 0, 0, 153, 3, 0, 0, 153, 3, 0, 0, 153, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 153, 3, 0, 0, 153, 3, 0, 0, 153, 3, 0, 0, 153, 3, 0, 0, 153, 3, 0, 0, 153, 3, 0, 0, 153, 3, 0, 0, 168, 4, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0,
+            137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0,
+            137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0,
+            137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 137, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 218, 6, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 34, 4, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 226, 6, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 234, 6, 0, 0, 238, 6, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 79, 5, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 236, 6, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 246, 6, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 30, 4, 0, 0, 97, 3, 0, 0, 254, 6, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 208, 7, 0, 0, 97, 3, 0, 0, 214, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            220, 7, 0, 0, 116, 8, 0, 0, 226, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 233, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 153, 3, 0, 0, 246, 7, 0, 0, 16, 4, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 153, 3, 0, 0, 14, 8, 0, 0, 153, 3, 0, 0, 21, 8, 0, 0, 28, 8, 0, 0, 36, 8, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 44, 8, 0, 0, 52, 8, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 214, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            214, 6, 0, 0, 97, 3, 0, 0, 57, 8, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 214, 7, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 64, 8, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0,
+            97, 3, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 79, 9, 0, 0, 209, 8, 0, 0, 97, 3, 0, 0, 84, 9, 0, 0, 92, 9, 0, 0, 99, 9, 0, 0, 252, 8, 0, 0, 80, 8, 0, 0, 107, 9, 0, 0, 114, 9, 0, 0, 122, 9, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0,
+            252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 72, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 253, 8, 0, 0, 130, 9, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0,
+            252, 8, 0, 0, 134, 9, 0, 0, 97, 3, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 67, 8, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 138, 9, 0, 0, 252, 8, 0, 0, 146, 9, 0, 0, 97, 3, 0, 0, 152, 9, 0, 0, 97, 3, 0, 0, 160, 9, 0, 0, 165, 9, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 69, 8, 0, 0, 169, 9, 0, 0,
+            176, 9, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 97, 3, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0,
+            252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0,
+            252, 8, 0, 0, 252, 8, 0, 0, 252, 8, 0, 0, 253, 8, 0, 0, 88, 3, 1, 0, 88, 3, 1, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 2, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0,
+            3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0,
+            3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0,
+            3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0,
+            8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            8, 0, 0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 8, 0, 0, 0, 7, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 7, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 3, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 4, 0, 0, 0, 5, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0,
+            3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0,
+            8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0,
+            8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0,
+            8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0,
+            0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0,
+            4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0,
+            8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0,
+            8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0,
+            8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0,
+            8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0,
+            8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0,
+            8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0,
+            0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0,
+            8, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0,
+            8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0,
+            4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0,
+            14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0,
+            6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0,
+            8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0,
+            9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0,
+            10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0,
+            11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0,
+            10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0,
+            11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0,
+            11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0,
+            13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 12, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0,
+            13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0,
+            14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0,
+            14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0,
+            14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0,
+            14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0,
+            14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0,
+            14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0,
+            14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0,
+            14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0,
+            14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0,
+            14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0,
+            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0,
+            14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0,
+            14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0,
+            14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        };
+    }
+}

src/Avalonia.Base/Media/TextFormatting/Unicode/LineBreakClass.cs

@@ -35,7 +35,6 @@ namespace Avalonia.Media.TextFormatting.Unicode
         EModifier, //EM
         ZWJ, //ZWJ
         ContingentBreak, //CB
-
         Unknown, //XX
         Ambiguous, //AI
         MandatoryBreak, //BK

src/Avalonia.Base/Media/TextFormatting/Unicode/LineBreakEnumerator.cs

@@ -450,6 +450,20 @@ namespace Avalonia.Media.TextFormatting.Unicode
                 _lb30a = 0;
             }
 
+            // Rule LB30b
+            if (_nextClass == LineBreakClass.EModifier && _lastPosition > 0)
+            {
+                // Mahjong Tiles (Unicode block) are extended pictographics but have a class of ID
+                // Unassigned codepoints with Line_Break=ID in some blocks are also assigned the Extended_Pictographic property.
+                // Those blocks are intended for future allocation of emoji characters.
+                var cp = Codepoint.ReadAt(_text, _lastPosition - 1, out int _);
+
+                if (Codepoint.IsInRangeInclusive(cp, 0x1F000, 0x1F02F))
+                {
+                    shouldBreak = false;
+                }
+            }
+
             _currentClass = _nextClass;
 
             return shouldBreak;

src/Avalonia.Base/Media/TextFormatting/Unicode/Script.cs

@@ -30,6 +30,7 @@ namespace Avalonia.Media.TextFormatting.Unicode
         Cherokee, //Cher
         Chorasmian, //Chrs
         Coptic, //Copt
+        CyproMinoan, //Cpmn
         Cypriot, //Cprt
         Cyrillic, //Cyrl
         Devanagari, //Deva
@@ -109,6 +110,7 @@ namespace Avalonia.Media.TextFormatting.Unicode
         Oriya, //Orya
         Osage, //Osge
         Osmanya, //Osma
+        OldUyghur, //Ougr
         Palmyrene, //Palm
         PauCinHau, //Pauc
         OldPermic, //Perm
@@ -151,8 +153,11 @@ namespace Avalonia.Media.TextFormatting.Unicode
         Thai, //Thai
         Tibetan, //Tibt
         Tirhuta, //Tirh
+        Tangsa, //Tnsa
+        Toto, //Toto
         Ugaritic, //Ugar
         Vai, //Vaii
+        Vithkuqi, //Vith
         WarangCiti, //Wara
         Wancho, //Wcho
         OldPersian, //Xpeo

src/Avalonia.Base/Media/TextFormatting/Unicode/UnicodeData.cs

@@ -1,4 +1,5 @@
-using System.Runtime.CompilerServices;
+using System.IO;
+using System.Runtime.CompilerServices;
 
 namespace Avalonia.Media.TextFormatting.Unicode
 {
@@ -17,14 +18,14 @@ namespace Avalonia.Media.TextFormatting.Unicode
 
         internal const int SCRIPT_SHIFT = CATEGORY_BITS;
         internal const int LINEBREAK_SHIFT = CATEGORY_BITS + SCRIPT_BITS;
-        
+
         internal const int BIDIPAIREDBRACKEDTYPE_SHIFT = BIDIPAIREDBRACKED_BITS;
         internal const int BIDICLASS_SHIFT = BIDIPAIREDBRACKED_BITS + BIDIPAIREDBRACKEDTYPE_BITS;
-        
+
         internal const int CATEGORY_MASK = (1 << CATEGORY_BITS) - 1;
         internal const int SCRIPT_MASK = (1 << SCRIPT_BITS) - 1;
         internal const int LINEBREAK_MASK = (1 << LINEBREAK_BITS) - 1;
-        
+
         internal const int BIDIPAIREDBRACKED_MASK = (1 << BIDIPAIREDBRACKED_BITS) - 1;
         internal const int BIDIPAIREDBRACKEDTYPE_MASK = (1 << BIDIPAIREDBRACKEDTYPE_BITS) - 1;
         internal const int BIDICLASS_MASK = (1 << BIDICLASS_BITS) - 1;
@@ -35,9 +36,9 @@ namespace Avalonia.Media.TextFormatting.Unicode
 
         static UnicodeData()
         {
-            s_unicodeDataTrie = new UnicodeTrie(typeof(UnicodeData).Assembly.GetManifestResourceStream("Avalonia.Assets.UnicodeData.trie")!);
+            s_unicodeDataTrie = new UnicodeTrie(UnicodeDataTrie.Data);
-            s_graphemeBreakTrie = new UnicodeTrie(typeof(UnicodeData).Assembly.GetManifestResourceStream("Avalonia.Assets.GraphemeBreak.trie")!);
+            s_graphemeBreakTrie = new UnicodeTrie(GraphemeBreakTrie.Data);
-            s_biDiTrie = new UnicodeTrie(typeof(UnicodeData).Assembly.GetManifestResourceStream("Avalonia.Assets.BiDi.trie")!);
+            s_biDiTrie = new UnicodeTrie(BidiTrie.Data);
         }
 
         /// <summary>
@@ -46,7 +47,7 @@ namespace Avalonia.Media.TextFormatting.Unicode
         /// <param name="codepoint">The codepoint in question.</param>
         /// <returns>The code point's general category.</returns>
         [MethodImpl(MethodImplOptions.AggressiveInlining)]
-        public static GeneralCategory GetGeneralCategory(int codepoint)
+        public static GeneralCategory GetGeneralCategory(uint codepoint)
         {
             return (GeneralCategory)(s_unicodeDataTrie.Get(codepoint) & CATEGORY_MASK);
         }
@@ -57,7 +58,7 @@ namespace Avalonia.Media.TextFormatting.Unicode
         /// <param name="codepoint">The codepoint in question.</param>
         /// <returns>The code point's script.</returns>
         [MethodImpl(MethodImplOptions.AggressiveInlining)]
-        public static Script GetScript(int codepoint)
+        public static Script GetScript(uint codepoint)
         {
             return (Script)((s_unicodeDataTrie.Get(codepoint) >> SCRIPT_SHIFT) & SCRIPT_MASK);
         }
@@ -68,31 +69,31 @@ namespace Avalonia.Media.TextFormatting.Unicode
         /// <param name="codepoint">The codepoint in question.</param>
         /// <returns>The code point's biDi class.</returns>
         [MethodImpl(MethodImplOptions.AggressiveInlining)]
-        public static BidiClass GetBiDiClass(int codepoint)
+        public static BidiClass GetBiDiClass(uint codepoint)
         {
             return (BidiClass)((s_biDiTrie.Get(codepoint) >> BIDICLASS_SHIFT) & BIDICLASS_MASK);
         }
-        
+
         /// <summary>
         /// Gets the <see cref="BidiPairedBracketType"/> for a Unicode codepoint.
         /// </summary>
         /// <param name="codepoint">The codepoint in question.</param>
         /// <returns>The code point's paired bracket type.</returns>
         [MethodImpl(MethodImplOptions.AggressiveInlining)]
-        public static BidiPairedBracketType GetBiDiPairedBracketType(int codepoint)
+        public static BidiPairedBracketType GetBiDiPairedBracketType(uint codepoint)
         {
             return (BidiPairedBracketType)((s_biDiTrie.Get(codepoint) >> BIDIPAIREDBRACKEDTYPE_SHIFT) & BIDIPAIREDBRACKEDTYPE_MASK);
         }
-        
+
         /// <summary>
         /// Gets the paired bracket for a Unicode codepoint.
         /// </summary>
         /// <param name="codepoint">The codepoint in question.</param>
         /// <returns>The code point's paired bracket.</returns>
         [MethodImpl(MethodImplOptions.AggressiveInlining)]
-        public static Codepoint GetBiDiPairedBracket(int codepoint)
+        public static Codepoint GetBiDiPairedBracket(uint codepoint)
         {
-            return new Codepoint((int)(s_biDiTrie.Get(codepoint) & BIDIPAIREDBRACKED_MASK));
+            return new Codepoint((s_biDiTrie.Get(codepoint) & BIDIPAIREDBRACKED_MASK));
         }
 
         /// <summary>
@@ -101,7 +102,7 @@ namespace Avalonia.Media.TextFormatting.Unicode
         /// <param name="codepoint">The codepoint in question.</param>
         /// <returns>The code point's line break class.</returns>
         [MethodImpl(MethodImplOptions.AggressiveInlining)]
-        public static LineBreakClass GetLineBreakClass(int codepoint)
+        public static LineBreakClass GetLineBreakClass(uint codepoint)
         {
             return (LineBreakClass)((s_unicodeDataTrie.Get(codepoint) >> LINEBREAK_SHIFT) & LINEBREAK_MASK);
         }
@@ -112,7 +113,7 @@ namespace Avalonia.Media.TextFormatting.Unicode
         /// <param name="codepoint">The codepoint in question.</param>
         /// <returns>The code point's grapheme break type.</returns>
         [MethodImpl(MethodImplOptions.AggressiveInlining)]
-        public static GraphemeBreakClass GetGraphemeClusterBreak(int codepoint)
+        public static GraphemeBreakClass GetGraphemeClusterBreak(uint codepoint)
         {
             return (GraphemeBreakClass)s_graphemeBreakTrie.Get(codepoint);
         }

src/Avalonia.Base/Media/TextFormatting/Unicode/UnicodeTrie.cs

@@ -15,92 +15,119 @@
 // Ported from: https://github.com/foliojs/unicode-trie
 // Copied from: https://github.com/toptensoftware/RichTextKit
 
+using System;
 using System.IO;
-using System.IO.Compression;
+using System.Runtime.CompilerServices;
+using System.Runtime.InteropServices;
 using System.Text;
 
 namespace Avalonia.Media.TextFormatting.Unicode
 {
     internal class UnicodeTrie
     {
-        private readonly int[] _data;
+        private readonly uint[] _data;
         private readonly int _highStart;
         private readonly uint _errorValue;
 
+        /// <summary>
+        /// Initializes a new instance of the <see cref="UnicodeTrie"/> class.
+        /// </summary>
+        /// <param name="rawData">The uncompressed trie data.</param>
+        public UnicodeTrie(ReadOnlySpan<byte> rawData)
+        {
+            var header = UnicodeTrieHeader.Parse(rawData);
+            int length = header.DataLength;
+            uint[] data = new uint[length / sizeof(uint)];
+
+            MemoryMarshal.Cast<byte, uint>(rawData.Slice(rawData.Length - length))
+                .CopyTo(data);
+
+            _highStart = header.HighStart;
+           _errorValue = header.ErrorValue;
+            _data = data;
+        }
+
+        /// <summary>
+        /// Initializes a new instance of the <see cref="UnicodeTrie"/> class.
+        /// </summary>
+        /// <param name="stream">The stream containing the data.</param>
         public UnicodeTrie(Stream stream)
         {
-            int dataLength;
+            // Read the header info
-            using (var bw = new BinaryReader(stream, Encoding.UTF8, true))
+            using (var br = new BinaryReader(stream, Encoding.UTF8, true))
             {
-                _highStart = bw.ReadInt32BE();
+                _highStart = br.ReadInt32();
-                _errorValue = bw.ReadUInt32BE();
+                _errorValue = br.ReadUInt32();
-                dataLength = bw.ReadInt32BE() / 4;
+                _data = new uint[br.ReadInt32() / sizeof(uint)];
             }
 
-            using (var infl1 = new DeflateStream(stream, CompressionMode.Decompress, true))
+            // Read the data in compressed format.
-            using (var infl2 = new DeflateStream(infl1, CompressionMode.Decompress, true))
+            using (var br = new BinaryReader(stream, Encoding.UTF8, true))
-            using (var bw = new BinaryReader(infl2, Encoding.UTF8, true))
             {
-                _data = new int[dataLength];
                 for (int i = 0; i < _data.Length; i++)
                 {
-                    _data[i] = bw.ReadInt32();
+                    _data[i] = br.ReadUInt32();
                 }
             }
         }
 
-        public UnicodeTrie(byte[] buf) : this(new MemoryStream(buf))
-        {
 
-        }
+        /// <summary>
-
+        /// Initializes a new instance of the <see cref="UnicodeTrie"/> class.
-        internal UnicodeTrie(int[] data, int highStart, uint errorValue)
+        /// </summary>
+        /// <param name="data">The uncompressed trie data.</param>
+        /// <param name="highStart">The start of the last range which ends at U+10ffff.</param>
+        /// <param name="errorValue">The value for out-of-range code points and illegal UTF-8.</param>
+        public UnicodeTrie(uint[] data, int highStart, uint errorValue)
         {
             _data = data;
             _highStart = highStart;
             _errorValue = errorValue;
         }
 
+        /// <summary>
+        /// Saves the <see cref="UnicodeTrie"/> to the stream in a compressed format.
+        /// </summary>
+        /// <param name="stream">The output stream.</param>
         internal void Save(Stream stream)
         {
             // Write the header info
             using (var bw = new BinaryWriter(stream, Encoding.UTF8, true))
             {
-                bw.WriteBE(_highStart);
+                bw.Write(_highStart);
-                bw.WriteBE(_errorValue);
+                bw.Write(_errorValue);
-                bw.WriteBE(_data.Length * 4);
+                bw.Write(_data.Length * sizeof(uint));
             }
 
-            // Double compress the data
+            // Write the data.
-            using (var def1 = new DeflateStream(stream, CompressionLevel.Optimal, true))
+            using (var bw = new BinaryWriter(stream, Encoding.UTF8, true))
-            using (var def2 = new DeflateStream(def1, CompressionLevel.Optimal, true))
-            using (var bw = new BinaryWriter(def2, Encoding.UTF8, true))
             {
-                foreach (var v in _data)
+                for (int i = 0; i < _data.Length; i++)
                 {
-                    bw.Write(v);
+                    bw.Write(_data[i]);
                 }
-                bw.Flush();
-                def2.Flush();
-                def1.Flush();
             }
         }
 
-        public uint Get(int codePoint)
+        /// <summary>
+        /// Get the value for a code point as stored in the trie.
+        /// </summary>
+        /// <param name="codePoint">The code point.</param>
+        /// <returns>The <see cref="uint"/> value.</returns>
+        [MethodImpl(MethodImplOptions.AggressiveInlining)]
+        public uint Get(uint codePoint)
         {
-            int index;
+            uint index;
-            if ((codePoint < 0) || (codePoint > 0x10ffff))
+            ref uint dataBase = ref MemoryMarshal.GetReference(_data.AsSpan());
-            {
-                return _errorValue;
-            }
 
-            if ((codePoint < 0xd800) || ((codePoint > 0xdbff) && (codePoint <= 0xffff)))
+            if (codePoint is < 0x0d800 or (> 0x0dbff and <= 0x0ffff))
             {
                 // Ordinary BMP code point, excluding leading surrogates.
-                // BMP uses a single level lookup.  BMP index starts at offset 0 in the index.
+                // BMP uses a single level lookup.  BMP index starts at offset 0 in the Trie2 index.
-                // data is stored in the index array itself.
+                // 16 bit data is stored in the index array itself.
-                index = (_data[codePoint >> UnicodeTrieBuilder.SHIFT_2] << UnicodeTrieBuilder.INDEX_SHIFT) + (codePoint & UnicodeTrieBuilder.DATA_MASK);
+                index = _data[codePoint >> UnicodeTrieBuilder.SHIFT_2];
-                return (uint)_data[index];
+                index = (index << UnicodeTrieBuilder.INDEX_SHIFT) + (codePoint & UnicodeTrieBuilder.DATA_MASK);
+                return Unsafe.Add(ref dataBase, (nint)index);
             }
 
             if (codePoint <= 0xffff)
@@ -109,20 +136,57 @@ namespace Avalonia.Media.TextFormatting.Unicode
                 // lead surrogate code units and code points.
                 //   The main index has the code unit data.
                 //   For this function, we need the code point data.
-                index = (_data[UnicodeTrieBuilder.LSCP_INDEX_2_OFFSET + ((codePoint - 0xd800) >> UnicodeTrieBuilder.SHIFT_2)] << UnicodeTrieBuilder.INDEX_SHIFT) + (codePoint & UnicodeTrieBuilder.DATA_MASK);
+                // Note: this expression could be refactored for slightly improved efficiency, but
-                return (uint)_data[index];
+                //       surrogate code points will be so rare in practice that it's not worth it.
+                index = _data[UnicodeTrieBuilder.LSCP_INDEX_2_OFFSET + ((codePoint - 0xd800) >> UnicodeTrieBuilder.SHIFT_2)];
+                index = (index << UnicodeTrieBuilder.INDEX_SHIFT) + (codePoint & UnicodeTrieBuilder.DATA_MASK);
+                return Unsafe.Add(ref dataBase, (nint)index);
             }
 
             if (codePoint < _highStart)
             {
                 // Supplemental code point, use two-level lookup.
-                index = _data[(UnicodeTrieBuilder.INDEX_1_OFFSET - UnicodeTrieBuilder.OMITTED_BMP_INDEX_1_LENGTH) + (codePoint >> UnicodeTrieBuilder.SHIFT_1)];
+                index = UnicodeTrieBuilder.INDEX_1_OFFSET - UnicodeTrieBuilder.OMITTED_BMP_INDEX_1_LENGTH + (codePoint >> UnicodeTrieBuilder.SHIFT_1);
-                index = _data[index + ((codePoint >> UnicodeTrieBuilder.SHIFT_2) & UnicodeTrieBuilder.INDEX_2_MASK)];
+                index = _data[index];
+                index += (codePoint >> UnicodeTrieBuilder.SHIFT_2) & UnicodeTrieBuilder.INDEX_2_MASK;
+                index = _data[index];
                 index = (index << UnicodeTrieBuilder.INDEX_SHIFT) + (codePoint & UnicodeTrieBuilder.DATA_MASK);
-                return (uint)_data[index];
+                return Unsafe.Add(ref dataBase, (nint)index);
+            }
+
+            if (codePoint <= 0x10ffff)
+            {
+                return Unsafe.Add(ref dataBase, (nint)(_data.Length - UnicodeTrieBuilder.DATA_GRANULARITY));
+            }
+
+            // Fall through.  The code point is outside of the legal range of 0..0x10ffff.
+            return _errorValue;
+        }
+
+        [StructLayout(LayoutKind.Sequential, Pack = 1)]
+        private struct UnicodeTrieHeader
+        {
+            public int HighStart
+            {
+                [MethodImpl(MethodImplOptions.AggressiveInlining)]
+                get;
+            }
+
+            public uint ErrorValue
+            {
+                [MethodImpl(MethodImplOptions.AggressiveInlining)]
+                get;
+            }
+
+            public int DataLength
+            {
+                [MethodImpl(MethodImplOptions.AggressiveInlining)]
+                get;
             }
 
-            return (uint)_data[_data.Length - UnicodeTrieBuilder.DATA_GRANULARITY];
+            [MethodImpl(MethodImplOptions.AggressiveInlining)]
+            public static UnicodeTrieHeader Parse(ReadOnlySpan<byte> data)
+                => MemoryMarshal.Cast<byte, UnicodeTrieHeader>(data)[0];
         }
     }
 }

src/Avalonia.Base/Media/TextFormatting/Unicode/UnicodeTrieBuilder.cs

@@ -368,24 +368,24 @@ namespace Avalonia.Media.TextFormatting.Unicode
 
             // calculate the sizes of, and allocate, the index and data arrays
             var indexLength = allIndexesLength + _dataLength;
-            var data = new int[indexLength];
+            var data = new uint[indexLength];
 
             // write the index-2 array values shifted right by INDEX_SHIFT, after adding dataMove
             var destIdx = 0;
             for (i = 0; i < INDEX_2_BMP_LENGTH; i++)
             {
-                data[destIdx++] = ((_index2[i] + dataMove) >> INDEX_SHIFT);
+                data[destIdx++] = (uint)((_index2[i] + dataMove) >> INDEX_SHIFT);
             }
 
             // write UTF-8 2-byte index-2 values, not right-shifted
             for (i = 0; i < 0xc2 - 0xc0; i++)
             { // C0..C1
-                data[destIdx++] = (dataMove + BAD_UTF8_DATA_OFFSET);
+                data[destIdx++] = (uint)(dataMove + BAD_UTF8_DATA_OFFSET);
             }
 
             for (; i < 0xe0 - 0xc0; i++)
             { // C2..DF
-                data[destIdx++] = (dataMove + _index2[i << (6 - SHIFT_2)]);
+                data[destIdx++] = (uint)(dataMove + _index2[i << (6 - SHIFT_2)]);
             }
 
             if (_highStart > 0x10000)
@@ -396,21 +396,21 @@ namespace Avalonia.Media.TextFormatting.Unicode
                 // write 16-bit index-1 values for supplementary code points
                 for (i = 0; i < index1Length; i++)
                 {
-                    data[destIdx++] = (INDEX_2_OFFSET + _index1[i + OMITTED_BMP_INDEX_1_LENGTH]);
+                    data[destIdx++] = (uint)(INDEX_2_OFFSET + _index1[i + OMITTED_BMP_INDEX_1_LENGTH]);
                 }
 
                 // write the index-2 array values for supplementary code points,
                 // shifted right by INDEX_SHIFT, after adding dataMove
                 for (i = 0; i < _index2Length - index2Offset; i++)
                 {
-                    data[destIdx++] = ((dataMove + _index2[index2Offset + i]) >> INDEX_SHIFT);
+                    data[destIdx++] = (uint)((dataMove + _index2[index2Offset + i]) >> INDEX_SHIFT);
                 }
             }
 
             // write 16-bit data values
             for (i = 0; i < _dataLength; i++)
             {
-                data[destIdx++] = (int)_data[i];
+                data[destIdx++] = _data[i];
             }
 
             return new UnicodeTrie(data, _highStart, _errorValue);

src/Avalonia.Base/Point.cs

@@ -188,7 +188,7 @@ namespace Avalonia
         }
 
         /// <summary>
-        /// Returns a boolean indicating whether the point is equal to the other given point.
+        /// Returns a boolean indicating whether the point is equal to the other given point (bitwise).
         /// </summary>
         /// <param name="other">The other point to test equality against.</param>
         /// <returns>True if this point is equal to other; False otherwise.</returns>
@@ -200,6 +200,18 @@ namespace Avalonia
             // ReSharper enable CompareOfFloatsByEqualityOperator
         }
 
+        /// <summary>
+        /// Returns a boolean indicating whether the point is equal to the other given point
+        /// (numerically).
+        /// </summary>
+        /// <param name="other">The other point to test equality against.</param>
+        /// <returns>True if this point is equal to other; False otherwise.</returns>
+        public bool NearlyEquals(Point other)
+        {
+            return MathUtilities.AreClose(_x, other._x) &&
+                   MathUtilities.AreClose(_y, other._y);
+        }
+
         /// <summary>
         /// Checks for equality between a point and an object.
         /// </summary>

src/Avalonia.Base/Rendering/SceneGraph/SceneBuilder.cs

@@ -158,6 +158,7 @@ namespace Avalonia.Rendering.SceneGraph
             if (result != null && result.Parent != parent)
             {
                 Deindex(scene, result);
+                ((VisualNode?)result.Parent)?.RemoveChild(result);
                 result = null;
             }
 

src/Avalonia.Base/Utilities/ArrayBuilder.cs

@@ -101,7 +101,7 @@ namespace Avalonia.Utilities
         /// </summary>
         /// <param name="value">The array slice.</param>
         /// <returns>The <see cref="ArraySlice{T}"/>.</returns>
-        public ArraySlice<T> Add(in ReadOnlySlice<T> value)
+        public ArraySlice<T> Add(in ArraySlice<T> value)
         {
             var position = _size;
 

src/Avalonia.Base/Utilities/ArraySlice.cs

@@ -116,7 +116,7 @@ namespace Avalonia.Utilities
         /// </summary>
         public static implicit operator ReadOnlySlice<T>(ArraySlice<T> slice)
         {
-            return new ReadOnlySlice<T>(slice._data).AsSlice(slice.Start, slice.Length);
+            return new ReadOnlySlice<T>(slice._data, 0, slice.Length, slice.Start);
         }
 
         /// <summary>

src/Avalonia.Base/Utilities/BidiDictionary.cs

@@ -0,0 +1,40 @@
+using System.Collections.Generic;
+
+namespace Avalonia.Utilities
+{
+    /// <summary>
+    /// A simple bi-directional dictionary.
+    /// </summary>
+    /// <typeparam name="T1">Key type</typeparam>
+    /// <typeparam name="T2">Value type</typeparam>
+    internal sealed class BidiDictionary<T1, T2> where T1 : notnull where T2 : notnull
+    {
+        public Dictionary<T1, T2> Forward { get; } = new Dictionary<T1, T2>();
+
+        public Dictionary<T2, T1> Reverse { get; } = new Dictionary<T2, T1>();
+
+        public void Clear()
+        {
+            Forward.Clear();
+            Reverse.Clear();
+        }
+
+        public void Add(T1 key, T2 value)
+        {
+            Forward.Add(key, value);
+            Reverse.Add(value, key);
+        }
+
+#pragma warning disable CS8601
+        public bool TryGetValue(T1 key, out T2 value) => Forward.TryGetValue(key, out value);
+#pragma warning restore CS8601
+
+#pragma warning disable CS8601
+        public bool TryGetKey(T2 value, out T1 key) => Reverse.TryGetValue(value, out key);
+#pragma warning restore CS8601
+
+        public bool ContainsKey(T1 key) => Forward.ContainsKey(key);
+
+        public bool ContainsValue(T2 value) => Reverse.ContainsKey(value);
+    }
+}

src/Avalonia.Base/Visual.cs

@@ -376,7 +376,9 @@ namespace Avalonia
                     if (e.OldValue is IAffectsRender oldValue)
                     {
                         if (sender._affectsRenderWeakSubscriber != null)
+                        {
                             InvalidatedWeakEvent.Unsubscribe(oldValue, sender._affectsRenderWeakSubscriber);
+                        }
                     }
 
                     if (e.NewValue is IAffectsRender newValue)

src/Avalonia.Build.Tasks/XamlCompilerTaskExecutor.cs

@@ -49,9 +49,9 @@ namespace Avalonia.Build.Tasks
             string projectDirectory,
             string output, bool verifyIl, MessageImportance logImportance, string strongNameKey, bool patchCom, bool skipXamlCompilation, bool debuggerLaunch)
         {
-            var typeSystem = new CecilTypeSystem(references
+            var typeSystem = new CecilTypeSystem(
-                .Where(r => !r.ToLowerInvariant().EndsWith("avalonia.build.tasks.dll"))
+                references.Where(r => !r.ToLowerInvariant().EndsWith("avalonia.build.tasks.dll")),
-                .Concat(new[] { input }), input);
+                input);
 
             var asm = typeSystem.TargetAssemblyDefinition;
 

src/Avalonia.Controls.ColorPicker/ColorSpectrum/ColorSpectrum.cs

@@ -128,8 +128,8 @@ namespace Avalonia.Controls.Primitives
 
             if (_inputTarget != null)
             {
-                _inputTarget.PointerEnter += InputTarget_PointerEnter;
+                _inputTarget.PointerEntered += InputTarget_PointerEntered;
-                _inputTarget.PointerLeave += InputTarget_PointerLeave;
+                _inputTarget.PointerExited += InputTarget_PointerExited;
                 _inputTarget.PointerPressed += InputTarget_PointerPressed;
                 _inputTarget.PointerMoved += InputTarget_PointerMoved;
                 _inputTarget.PointerReleased += InputTarget_PointerReleased;
@@ -194,8 +194,8 @@ namespace Avalonia.Controls.Primitives
 
             if (_inputTarget != null)
             {
-                _inputTarget.PointerEnter -= InputTarget_PointerEnter;
+                _inputTarget.PointerEntered -= InputTarget_PointerEntered;
-                _inputTarget.PointerLeave -= InputTarget_PointerLeave;
+                _inputTarget.PointerExited -= InputTarget_PointerExited;
                 _inputTarget.PointerPressed -= InputTarget_PointerPressed;
                 _inputTarget.PointerMoved -= InputTarget_PointerMoved;
                 _inputTarget.PointerReleased -= InputTarget_PointerReleased;
@@ -362,7 +362,7 @@ namespace Avalonia.Controls.Primitives
         }
 
         /// <inheritdoc/>
-        protected override void OnPointerLeave(PointerEventArgs e)
+        protected override void OnPointerExited(PointerEventArgs e)
         {
             // We only want to bother with the color name tool tip if we can provide color names.
             if (_selectionEllipsePanel != null &&
@@ -373,7 +373,7 @@ namespace Avalonia.Controls.Primitives
 
             UpdatePseudoClasses();
 
-            base.OnPointerLeave(e);
+            base.OnPointerExited(e);
         }
 
         /// <inheritdoc/>
@@ -848,16 +848,16 @@ namespace Avalonia.Controls.Primitives
             UpdatePseudoClasses();
         }
 
-        /// <inheritdoc cref="InputElement.PointerEnter"/>
+        /// <inheritdoc cref="InputElement.PointerEntered"/>
-        private void InputTarget_PointerEnter(object? sender, PointerEventArgs args)
+        private void InputTarget_PointerEntered(object? sender, PointerEventArgs args)
         {
             _isPointerOver = true;
             UpdatePseudoClasses();
             args.Handled = true;
         }
 
-        /// <inheritdoc cref="InputElement.PointerLeave"/>
+        /// <inheritdoc cref="InputElement.PointerExited"/>
-        private void InputTarget_PointerLeave(object? sender, PointerEventArgs args)
+        private void InputTarget_PointerExited(object? sender, PointerEventArgs args)
         {
             _isPointerOver = false;
             UpdatePseudoClasses();

src/Avalonia.Controls.DataGrid/DataGridCell.cs

@@ -139,18 +139,18 @@ namespace Avalonia.Controls
             }
 
         }
-        protected override void OnPointerEnter(PointerEventArgs e)
+        protected override void OnPointerEntered(PointerEventArgs e)
         {
-            base.OnPointerEnter(e);
+            base.OnPointerEntered(e);
 
             if (OwningRow != null)
             {
                 IsMouseOver = true;
             }
         }
-        protected override void OnPointerLeave(PointerEventArgs e)
+        protected override void OnPointerExited(PointerEventArgs e)
         {
-            base.OnPointerLeave(e);
+            base.OnPointerExited(e);
 
             if (OwningRow != null)
             {
@@ -178,9 +178,9 @@ namespace Avalonia.Controls
                 {
                     var handled = OwningGrid.UpdateStateOnMouseLeftButtonDown(e, ColumnIndex, OwningRow.Slot, !e.Handled);
 
-                    // Do not handle PointerPressed with touch,
+                    // Do not handle PointerPressed with touch or pen,
                     // so we can start scroll gesture on the same event.
-                    if (e.Pointer.Type != PointerType.Touch)
+                    if (e.Pointer.Type != PointerType.Touch && e.Pointer.Type != PointerType.Pen)
                     {
                         e.Handled = handled;
                     }

src/Avalonia.Controls.DataGrid/DataGridColumn.cs

@@ -855,7 +855,7 @@ namespace Avalonia.Controls
             if (OwningGrid != null && OwningGrid.UseLayoutRounding)
             {
                 var scale = LayoutHelper.GetLayoutScale(HeaderCell);
-                var roundSize = LayoutHelper.RoundLayoutSize(new Size(leftEdge + ActualWidth, 1), scale, scale);
+                var roundSize = LayoutHelper.RoundLayoutSizeUp(new Size(leftEdge + ActualWidth, 1), scale, scale);
                 LayoutRoundedWidth = roundSize.Width - leftEdge;
             }
             else

src/Avalonia.Controls.DataGrid/DataGridColumnHeader.cs

@@ -83,9 +83,9 @@ namespace Avalonia.Controls
         {
             PointerPressed += DataGridColumnHeader_PointerPressed;
             PointerReleased += DataGridColumnHeader_PointerReleased;
-            PointerMoved += DataGridColumnHeader_PointerMove;
+            PointerMoved += DataGridColumnHeader_PointerMoved;
-            PointerEnter += DataGridColumnHeader_PointerEnter;
+            PointerEntered += DataGridColumnHeader_PointerEntered;
-            PointerLeave += DataGridColumnHeader_PointerLeave;
+            PointerExited += DataGridColumnHeader_PointerExited;
         }
 
         private void OnAreSeparatorsVisibleChanged(AvaloniaPropertyChangedEventArgs e)
@@ -452,7 +452,7 @@ namespace Avalonia.Controls
             SetDragCursor(mousePosition);
         }
 
-        private void DataGridColumnHeader_PointerEnter(object sender, PointerEventArgs e)
+        private void DataGridColumnHeader_PointerEntered(object sender, PointerEventArgs e)
         {
             if (!IsEnabled)
             {
@@ -464,7 +464,7 @@ namespace Avalonia.Controls
             UpdatePseudoClasses();
         }
 
-        private void DataGridColumnHeader_PointerLeave(object sender, PointerEventArgs e)
+        private void DataGridColumnHeader_PointerExited(object sender, PointerEventArgs e)
         {
             if (!IsEnabled)
             {
@@ -506,7 +506,7 @@ namespace Avalonia.Controls
             UpdatePseudoClasses();
         }
 
-        private void DataGridColumnHeader_PointerMove(object sender, PointerEventArgs e)
+        private void DataGridColumnHeader_PointerMoved(object sender, PointerEventArgs e)
         {
             if (OwningGrid == null || !IsEnabled)
             {

src/Avalonia.Controls.DataGrid/DataGridRow.cs

@@ -607,15 +607,15 @@ namespace Avalonia.Controls
             }
         }
 
-        protected override void OnPointerEnter(PointerEventArgs e)
+        protected override void OnPointerEntered(PointerEventArgs e)
         {
-            base.OnPointerEnter(e);
+            base.OnPointerEntered(e);
             IsMouseOver = true;
         }
-        protected override void OnPointerLeave(PointerEventArgs e)
+        protected override void OnPointerExited(PointerEventArgs e)
         {
             IsMouseOver = false;
-            base.OnPointerLeave(e);
+            base.OnPointerExited(e);
         }
 
         internal void ApplyCellsState()

src/Avalonia.Controls.DataGrid/DataGridRowGroupHeader.cs

@@ -375,7 +375,7 @@ namespace Avalonia.Controls
             ApplyHeaderStatus();
         }
 
-        protected override void OnPointerEnter(PointerEventArgs e)
+        protected override void OnPointerEntered(PointerEventArgs e)
         {
             if (IsEnabled)
             {
@@ -383,10 +383,10 @@ namespace Avalonia.Controls
                 UpdatePseudoClasses();
             }
 
-            base.OnPointerEnter(e);
+            base.OnPointerEntered(e);
         }
 
-        protected override void OnPointerLeave(PointerEventArgs e)
+        protected override void OnPointerExited(PointerEventArgs e)
         {
             if (IsEnabled)
             {
@@ -394,7 +394,7 @@ namespace Avalonia.Controls
                 UpdatePseudoClasses();
             }
 
-            base.OnPointerLeave(e);
+            base.OnPointerExited(e);
         }
 
         private void SetIsCheckedNoCallBack(bool value)

src/Avalonia.Controls.DataGrid/DataGridRowHeader.cs

@@ -158,23 +158,23 @@ namespace Avalonia.Controls.Primitives
             }
         }
 
-        protected override void OnPointerEnter(PointerEventArgs e)
+        protected override void OnPointerEntered(PointerEventArgs e)
         {
             if (OwningRow != null)
             {
                 OwningRow.IsMouseOver = true;
             }
 
-            base.OnPointerEnter(e);
+            base.OnPointerEntered(e);
         }
-        protected override void OnPointerLeave(PointerEventArgs e)
+        protected override void OnPointerExited(PointerEventArgs e)
         {
             if (OwningRow != null)
             {
                 OwningRow.IsMouseOver = false;
             }
 
-            base.OnPointerLeave(e);
+            base.OnPointerExited(e);
         }
 
         //TODO TabStop

src/Avalonia.Controls/Calendar/CalendarItem.cs

@@ -189,7 +189,7 @@ namespace Avalonia.Controls.Primitives
 
                 EventHandler<PointerPressedEventArgs> cellMouseLeftButtonDown = Cell_MouseLeftButtonDown;
                 EventHandler<PointerReleasedEventArgs> cellMouseLeftButtonUp = Cell_MouseLeftButtonUp;
-                EventHandler<PointerEventArgs> cellMouseEnter = Cell_MouseEnter;
+                EventHandler<PointerEventArgs> cellMouseEntered = Cell_MouseEntered;
                 EventHandler<RoutedEventArgs> cellClick = Cell_Click;
 
                 for (int i = 1; i < Calendar.RowsPerMonth; i++)
@@ -206,7 +206,7 @@ namespace Avalonia.Controls.Primitives
                         cell.SetValue(Grid.ColumnProperty, j);
                         cell.CalendarDayButtonMouseDown += cellMouseLeftButtonDown;
                         cell.CalendarDayButtonMouseUp += cellMouseLeftButtonUp;
-                        cell.PointerEnter += cellMouseEnter;
+                        cell.PointerEntered += cellMouseEntered;
                         cell.Click += cellClick;
                         children.Add(cell);
                     }
@@ -222,7 +222,7 @@ namespace Avalonia.Controls.Primitives
 
                 EventHandler<PointerPressedEventArgs> monthCalendarButtonMouseDown = Month_CalendarButtonMouseDown;
                 EventHandler<PointerReleasedEventArgs> monthCalendarButtonMouseUp = Month_CalendarButtonMouseUp;
-                EventHandler<PointerEventArgs> monthMouseEnter = Month_MouseEnter;
+                EventHandler<PointerEventArgs> monthMouseEntered = Month_MouseEntered;
 
                 for (int i = 0; i < Calendar.RowsPerYear; i++)
                 {
@@ -238,7 +238,7 @@ namespace Avalonia.Controls.Primitives
                         month.SetValue(Grid.ColumnProperty, j);
                         month.CalendarLeftMouseButtonDown += monthCalendarButtonMouseDown;
                         month.CalendarLeftMouseButtonUp += monthCalendarButtonMouseUp;
-                        month.PointerEnter += monthMouseEnter;
+                        month.PointerEntered += monthMouseEntered;
                         children.Add(month);
                     }
                 }
@@ -876,7 +876,7 @@ namespace Avalonia.Controls.Primitives
             }
         }
 
-        internal void Cell_MouseEnter(object? sender, PointerEventArgs e)
+        internal void Cell_MouseEntered(object? sender, PointerEventArgs e)
         {
             if (Owner != null)
             {
@@ -1162,7 +1162,7 @@ namespace Avalonia.Controls.Primitives
             }
         }
 
-        private void Month_MouseEnter(object? sender, PointerEventArgs e)
+        private void Month_MouseEntered(object? sender, PointerEventArgs e)
         {
             if (_isMouseLeftButtonDownYearView)
             {

src/Avalonia.Controls/Control.cs

@@ -1,4 +1,5 @@
 using System;
+using System.Collections.Generic;
 using System.ComponentModel;
 using Avalonia.Automation.Peers;
 using Avalonia.Controls.Documents;
@@ -10,6 +11,7 @@ using Avalonia.Interactivity;
 using Avalonia.Media;
 using Avalonia.Rendering;
 using Avalonia.Styling;
+using Avalonia.Threading;
 using Avalonia.VisualTree;
 
 namespace Avalonia.Controls
@@ -53,21 +55,57 @@ namespace Avalonia.Controls
         /// Event raised when an element wishes to be scrolled into view.
         /// </summary>
         public static readonly RoutedEvent<RequestBringIntoViewEventArgs> RequestBringIntoViewEvent =
-            RoutedEvent.Register<Control, RequestBringIntoViewEventArgs>("RequestBringIntoView", RoutingStrategies.Bubble);
+            RoutedEvent.Register<Control, RequestBringIntoViewEventArgs>(
+                "RequestBringIntoView",
+                RoutingStrategies.Bubble);
 
         /// <summary>
         /// Provides event data for the <see cref="ContextRequested"/> event.
         /// </summary>
         public static readonly RoutedEvent<ContextRequestedEventArgs> ContextRequestedEvent =
-            RoutedEvent.Register<Control, ContextRequestedEventArgs>(nameof(ContextRequested),
+            RoutedEvent.Register<Control, ContextRequestedEventArgs>(
+                nameof(ContextRequested),
                 RoutingStrategies.Tunnel | RoutingStrategies.Bubble);
         
+        /// <summary>
+        /// Defines the <see cref="Loaded"/> event.
+        /// </summary>
+        public static readonly RoutedEvent<RoutedEventArgs> LoadedEvent =
+            RoutedEvent.Register<Control, RoutedEventArgs>(
+                nameof(Loaded),
+                RoutingStrategies.Direct);
+
+        /// <summary>
+        /// Defines the <see cref="Unloaded"/> event.
+        /// </summary>
+        public static readonly RoutedEvent<RoutedEventArgs> UnloadedEvent =
+            RoutedEvent.Register<Control, RoutedEventArgs>(
+                nameof(Unloaded),
+                RoutingStrategies.Direct);
+
         /// <summary>
         /// Defines the <see cref="FlowDirection"/> property.
         /// </summary>
         public static readonly AttachedProperty<FlowDirection> FlowDirectionProperty =
-            AvaloniaProperty.RegisterAttached<Control, Control, FlowDirection>(nameof(FlowDirection), inherits: true);
+            AvaloniaProperty.RegisterAttached<Control, Control, FlowDirection>(
-
+                nameof(FlowDirection),
+                inherits: true);
+
+        // Note the following:
+        // _loadedQueue :
+        //   Is the queue where any control will be added to indicate that its loaded
+        //   event should be scheduled and called later.
+        // _loadedProcessingQueue :
+        //   Contains a copied snapshot of the _loadedQueue at the time when processing
+        //   starts and individual events are being fired. This was needed to avoid
+        //   exceptions if new controls were added in the Loaded event itself.
+
+        private static bool _isLoadedProcessing = false;
+        private static readonly HashSet<Control> _loadedQueue = new HashSet<Control>();
+        private static readonly HashSet<Control> _loadedProcessingQueue = new HashSet<Control>();
+
+        private bool _isAttachedToVisualTree = false;
+        private bool _isLoaded = false;
         private DataTemplates? _dataTemplates;
         private IControl? _focusAdorner;
         private AutomationPeer? _automationPeer;
@@ -108,6 +146,15 @@ namespace Avalonia.Controls
             set => SetValue(ContextFlyoutProperty, value);
         }
 
+        /// <summary>
+        /// Gets a value indicating whether the control is fully constructed in the visual tree
+        /// and both layout and render are complete.
+        /// </summary>
+        /// <remarks>
+        /// This is set to true while raising the <see cref="Loaded"/> event.
+        /// </remarks>
+        public bool IsLoaded => _isLoaded;
+
         /// <summary>
         /// Gets or sets a user-defined object attached to the control.
         /// </summary>
@@ -135,6 +182,35 @@ namespace Avalonia.Controls
             remove => RemoveHandler(ContextRequestedEvent, value);
         }
 
+        /// <summary>
+        /// Occurs when the control has been fully constructed in the visual tree and both
+        /// layout and render are complete.
+        /// </summary>
+        /// <remarks>
+        /// This event is guaranteed to occur after the control template is applied and references
+        /// to objects created after the template is applied are available. This makes it different
+        /// from OnAttachedToVisualTree which doesn't have these references. This event occurs at the
+        /// latest possible time in the control creation life-cycle.
+        /// </remarks>
+        public event EventHandler<RoutedEventArgs>? Loaded
+        {
+            add => AddHandler(LoadedEvent, value);
+            remove => RemoveHandler(LoadedEvent, value);
+        }
+
+        /// <summary>
+        /// Occurs when the control is removed from the visual tree.
+        /// </summary>
+        /// <remarks>
+        /// This is API symmetrical with <see cref="Loaded"/> and exists for compatibility with other
+        /// XAML frameworks; however, it behaves the same as OnDetachedFromVisualTree.
+        /// </remarks>
+        public event EventHandler<RoutedEventArgs>? Unloaded
+        {
+            add => AddHandler(UnloadedEvent, value);
+            remove => RemoveHandler(UnloadedEvent, value);
+        }
+
         public new IControl? Parent => (IControl?)base.Parent;
 
         /// <summary>
@@ -215,18 +291,124 @@ namespace Avalonia.Controls
         /// <returns>The control that receives the focus adorner.</returns>
         protected virtual IControl? GetTemplateFocusTarget() => this;
 
+        private static Action loadedProcessingAction = () =>
+        {
+            // Copy the loaded queue for processing
+            // There was a possibility of the "Collection was modified; enumeration operation may not execute."
+            // exception when only a single hash set was used. This could happen when new controls are added
+            // within the Loaded callback/event itself. To fix this, two hash sets are used and while one is
+            // being processed the other accepts adding new controls to process next.
+            _loadedProcessingQueue.Clear();
+            foreach (Control control in _loadedQueue)
+            {
+                _loadedProcessingQueue.Add(control);
+            }
+            _loadedQueue.Clear();
+
+            foreach (Control control in _loadedProcessingQueue)
+            {
+                control.OnLoadedCore();
+            }
+
+            _loadedProcessingQueue.Clear();
+            _isLoadedProcessing = false;
+
+            // Restart if any controls were added to the queue while processing
+            if (_loadedQueue.Count > 0)
+            {
+                _isLoadedProcessing = true;
+                Dispatcher.UIThread.Post(loadedProcessingAction!, DispatcherPriority.Loaded);
+            }
+        };
+
+        /// <summary>
+        /// Schedules <see cref="OnLoadedCore"/> to be called for this control.
+        /// For performance, it will be queued with other controls.
+        /// </summary>
+        internal void ScheduleOnLoadedCore()
+        {
+            if (_isLoaded == false)
+            {
+                bool isAdded = _loadedQueue.Add(this);
+
+                if (isAdded &&
+                    _isLoadedProcessing == false)
+                {
+                    _isLoadedProcessing = true;
+                    Dispatcher.UIThread.Post(loadedProcessingAction!, DispatcherPriority.Loaded);
+                }
+            }
+        }
+
+        /// <summary>
+        /// Invoked as the first step of marking the control as loaded and raising the
+        /// <see cref="Loaded"/> event.
+        /// </summary>
+        internal void OnLoadedCore()
+        {
+            if (_isLoaded == false &&
+                _isAttachedToVisualTree)
+            {
+                _isLoaded = true;
+                OnLoaded();
+            }
+        }
+
+        /// <summary>
+        /// Invoked as the first step of marking the control as unloaded and raising the
+        /// <see cref="Unloaded"/> event.
+        /// </summary>
+        internal void OnUnloadedCore()
+        {
+            if (_isLoaded)
+            {
+                // Remove from the loaded event queue here as a failsafe in case the control
+                // is detached before the dispatcher runs the Loaded jobs.
+                _loadedQueue.Remove(this);
+
+                _isLoaded = false;
+                OnUnloaded();
+            }
+        }
+
+        /// <summary>
+        /// Invoked just before the <see cref="Loaded"/> event.
+        /// </summary>
+        protected virtual void OnLoaded()
+        {
+            var eventArgs = new RoutedEventArgs(LoadedEvent);
+            eventArgs.Source = null;
+            RaiseEvent(eventArgs);
+        }
+
+        /// <summary>
+        /// Invoked just before the <see cref="Unloaded"/> event.
+        /// </summary>
+        protected virtual void OnUnloaded()
+        {
+            var eventArgs = new RoutedEventArgs(UnloadedEvent);
+            eventArgs.Source = null;
+            RaiseEvent(eventArgs);
+        }
+
         /// <inheritdoc/>
         protected sealed override void OnAttachedToVisualTreeCore(VisualTreeAttachmentEventArgs e)
         {
             base.OnAttachedToVisualTreeCore(e);
+            _isAttachedToVisualTree = true;
 
             InitializeIfNeeded();
+
+            ScheduleOnLoadedCore();
         }
 
         /// <inheritdoc/>
         protected sealed override void OnDetachedFromVisualTreeCore(VisualTreeAttachmentEventArgs e)
         {
             base.OnDetachedFromVisualTreeCore(e);
+            _isAttachedToVisualTree = false;
+
+            OnUnloadedCore();
         }
 
         /// <inheritdoc/>
@@ -324,7 +506,9 @@ namespace Avalonia.Controls
                 var keymap = AvaloniaLocator.Current.GetService<PlatformHotkeyConfiguration>()?.OpenContextMenu;
 
                 if (keymap is null)
+                {
                     return;
+                }
 
                 var matches = false;
 

src/Avalonia.Controls/Converters/MenuScrollingVisibilityConverter.cs

@@ -26,7 +26,7 @@ namespace Avalonia.Controls.Converters
 
             if (visibility == ScrollBarVisibility.Auto)
             {
-                if (extent == viewport)
+                if (MathUtilities.AreClose(extent, viewport))
                 {
                     return false;
                 }

src/Avalonia.Controls/DateTimePickers/TimePickerPresenter.cs

@@ -194,7 +194,7 @@ namespace Avalonia.Controls
 
             if (ClockIdentifier == "12HourClock")
             {
-                hr = per == 1 ? hr + 12 : per == 0 && hr == 12 ? 0 : hr;
+                hr = per == 1 ? (hr == 12) ? 12 : hr + 12 : per == 0 && hr == 12 ? 0 : hr;
             }
 
             Time = new TimeSpan(hr, min, 0);

src/Avalonia.Controls/GridSplitter.cs

@@ -349,9 +349,9 @@ namespace Avalonia.Controls
             }
         }
 
-        protected override void OnPointerEnter(PointerEventArgs e)
+        protected override void OnPointerEntered(PointerEventArgs e)
         {
-            base.OnPointerEnter(e);
+            base.OnPointerEntered(e);
 
             GridResizeDirection direction = GetEffectiveResizeDirection();
 

src/Avalonia.Controls/MenuItem.cs

@@ -79,25 +79,33 @@ namespace Avalonia.Controls
         /// Defines the <see cref="Click"/> event.
         /// </summary>
         public static readonly RoutedEvent<RoutedEventArgs> ClickEvent =
-            RoutedEvent.Register<MenuItem, RoutedEventArgs>(nameof(Click), RoutingStrategies.Bubble);
+            RoutedEvent.Register<MenuItem, RoutedEventArgs>(
+                nameof(Click),
+                RoutingStrategies.Bubble);
 
         /// <summary>
-        /// Defines the <see cref="PointerEnterItem"/> event.
+        /// Defines the <see cref="PointerEnteredItem"/> event.
         /// </summary>
-        public static readonly RoutedEvent<PointerEventArgs> PointerEnterItemEvent =
+        public static readonly RoutedEvent<PointerEventArgs> PointerEnteredItemEvent =
-            RoutedEvent.Register<MenuItem, PointerEventArgs>(nameof(PointerEnterItem), RoutingStrategies.Bubble);
+            RoutedEvent.Register<MenuItem, PointerEventArgs>(
+                nameof(PointerEnteredItem),
+                RoutingStrategies.Bubble);
 
         /// <summary>
-        /// Defines the <see cref="PointerLeaveItem"/> event.
+        /// Defines the <see cref="PointerExitedItem"/> event.
         /// </summary>
-        public static readonly RoutedEvent<PointerEventArgs> PointerLeaveItemEvent =
+        public static readonly RoutedEvent<PointerEventArgs> PointerExitedItemEvent =
-            RoutedEvent.Register<MenuItem, PointerEventArgs>(nameof(PointerLeaveItem), RoutingStrategies.Bubble);
+            RoutedEvent.Register<MenuItem, PointerEventArgs>(
+                nameof(PointerExitedItem),
+                RoutingStrategies.Bubble);
 
         /// <summary>
         /// Defines the <see cref="SubmenuOpened"/> event.
         /// </summary>
         public static readonly RoutedEvent<RoutedEventArgs> SubmenuOpenedEvent =
-            RoutedEvent.Register<MenuItem, RoutedEventArgs>(nameof(SubmenuOpened), RoutingStrategies.Bubble);
+            RoutedEvent.Register<MenuItem, RoutedEventArgs>(
+                nameof(SubmenuOpened),
+                RoutingStrategies.Bubble);
 
         /// <summary>
         /// The default value for the <see cref="ItemsControl.ItemsPanel"/> property.
@@ -174,24 +182,24 @@ namespace Avalonia.Controls
         /// Occurs when the pointer enters a menu item.
         /// </summary>
         /// <remarks>
-        /// A bubbling version of the <see cref="InputElement.PointerEnter"/> event for menu items.
+        /// A bubbling version of the <see cref="InputElement.PointerEntered"/> event for menu items.
         /// </remarks>
-        public event EventHandler<PointerEventArgs>? PointerEnterItem
+        public event EventHandler<PointerEventArgs>? PointerEnteredItem
         {
-            add { AddHandler(PointerEnterItemEvent, value); }
+            add { AddHandler(PointerEnteredItemEvent, value); }
-            remove { RemoveHandler(PointerEnterItemEvent, value); }
+            remove { RemoveHandler(PointerEnteredItemEvent, value); }
         }
 
         /// <summary>
         /// Raised when the pointer leaves a menu item.
         /// </summary>
         /// <remarks>
-        /// A bubbling version of the <see cref="InputElement.PointerLeave"/> event for menu items.
+        /// A bubbling version of the <see cref="InputElement.PointerExited"/> event for menu items.
         /// </remarks>
-        public event EventHandler<PointerEventArgs>? PointerLeaveItem
+        public event EventHandler<PointerEventArgs>? PointerExitedItem
         {
-            add { AddHandler(PointerLeaveItemEvent, value); }
+            add { AddHandler(PointerExitedItemEvent, value); }
-            remove { RemoveHandler(PointerLeaveItemEvent, value); }
+            remove { RemoveHandler(PointerExitedItemEvent, value); }
         }
 
         /// <summary>
@@ -437,22 +445,22 @@ namespace Avalonia.Controls
         }
 
         /// <inheritdoc/>
-        protected override void OnPointerEnter(PointerEventArgs e)
+        protected override void OnPointerEntered(PointerEventArgs e)
         {
-            base.OnPointerEnter(e);
+            base.OnPointerEntered(e);
 
             var point = e.GetCurrentPoint(null);
-            RaiseEvent(new PointerEventArgs(PointerEnterItemEvent, this, e.Pointer, this.VisualRoot, point.Position,
+            RaiseEvent(new PointerEventArgs(PointerEnteredItemEvent, this, e.Pointer, this.VisualRoot, point.Position,
                 e.Timestamp, point.Properties, e.KeyModifiers));
         }
 
         /// <inheritdoc/>
-        protected override void OnPointerLeave(PointerEventArgs e)
+        protected override void OnPointerExited(PointerEventArgs e)
         {
-            base.OnPointerLeave(e);
+            base.OnPointerExited(e);
 
             var point = e.GetCurrentPoint(null);
-            RaiseEvent(new PointerEventArgs(PointerLeaveItemEvent, this, e.Pointer, this.VisualRoot, point.Position,
+            RaiseEvent(new PointerEventArgs(PointerExitedItemEvent, this, e.Pointer, this.VisualRoot, point.Position,
                 e.Timestamp, point.Properties, e.KeyModifiers));
         }
 

src/Avalonia.Controls/Platform/DefaultMenuInteractionHandler.cs

@@ -53,9 +53,9 @@ namespace Avalonia.Controls.Platform
             Menu.PointerPressed += PointerPressed;
             Menu.PointerReleased += PointerReleased;
             Menu.AddHandler(AccessKeyHandler.AccessKeyPressedEvent, AccessKeyPressed);
-            Menu.AddHandler(Avalonia.Controls.Menu.MenuOpenedEvent, this.MenuOpened);
+            Menu.AddHandler(Avalonia.Controls.Menu.MenuOpenedEvent, MenuOpened);
-            Menu.AddHandler(MenuItem.PointerEnterItemEvent, PointerEnter);
+            Menu.AddHandler(MenuItem.PointerEnteredItemEvent, PointerEntered);
-            Menu.AddHandler(MenuItem.PointerLeaveItemEvent, PointerLeave);
+            Menu.AddHandler(MenuItem.PointerExitedItemEvent, PointerExited);
             Menu.AddHandler(InputElement.PointerMovedEvent, PointerMoved);
 
             _root = Menu.VisualRoot;
@@ -89,9 +89,9 @@ namespace Avalonia.Controls.Platform
             Menu.PointerPressed -= PointerPressed;
             Menu.PointerReleased -= PointerReleased;
             Menu.RemoveHandler(AccessKeyHandler.AccessKeyPressedEvent, AccessKeyPressed);
-            Menu.RemoveHandler(Avalonia.Controls.Menu.MenuOpenedEvent, this.MenuOpened);
+            Menu.RemoveHandler(Avalonia.Controls.Menu.MenuOpenedEvent, MenuOpened);
-            Menu.RemoveHandler(MenuItem.PointerEnterItemEvent, PointerEnter);
+            Menu.RemoveHandler(MenuItem.PointerEnteredItemEvent, PointerEntered);
-            Menu.RemoveHandler(MenuItem.PointerLeaveItemEvent, PointerLeave);
+            Menu.RemoveHandler(MenuItem.PointerExitedItemEvent, PointerExited);
             Menu.RemoveHandler(InputElement.PointerMovedEvent, PointerMoved);
 
             if (_root is InputElement inputRoot)
@@ -297,7 +297,7 @@ namespace Avalonia.Controls.Platform
             e.Handled = true;
         }
 
-        protected internal virtual void PointerEnter(object? sender, PointerEventArgs e)
+        protected internal virtual void PointerEntered(object? sender, PointerEventArgs e)
         {
             var item = GetMenuItem(e.Source as IControl);
 
@@ -358,7 +358,7 @@ namespace Avalonia.Controls.Platform
             }
         }
 
-        protected internal virtual void PointerLeave(object? sender, PointerEventArgs e)
+        protected internal virtual void PointerExited(object? sender, PointerEventArgs e)
         {
             var item = GetMenuItem(e.Source as IControl);
 

src/Avalonia.Controls/Presenters/ContentPresenter.cs

@@ -635,8 +635,8 @@ namespace Avalonia.Controls.Presenters
 
             if (useLayoutRounding)
             {
-                sizeForChild = LayoutHelper.RoundLayoutSize(sizeForChild, scale, scale);
+                sizeForChild = LayoutHelper.RoundLayoutSizeUp(sizeForChild, scale, scale);
-                availableSize = LayoutHelper.RoundLayoutSize(availableSize, scale, scale);
+                availableSize = LayoutHelper.RoundLayoutSizeUp(availableSize, scale, scale);
             }
 
             switch (horizontalContentAlignment)

src/Avalonia.Controls/Primitives/ScrollBar.cs

@@ -218,9 +218,9 @@ namespace Avalonia.Controls.Primitives
             }
         }
 
-        protected override void OnPointerEnter(PointerEventArgs e)
+        protected override void OnPointerEntered(PointerEventArgs e)
         {
-            base.OnPointerEnter(e);
+            base.OnPointerEntered(e);
 
             if (AllowAutoHide)
             {
@@ -228,9 +228,9 @@ namespace Avalonia.Controls.Primitives
             }
         }
 
-        protected override void OnPointerLeave(PointerEventArgs e)
+        protected override void OnPointerExited(PointerEventArgs e)
         {
-            base.OnPointerLeave(e);
+            base.OnPointerExited(e);
 
             if (AllowAutoHide)
             {

src/Avalonia.Controls/Selection/InternalSelectionModel.cs

@@ -168,7 +168,7 @@ namespace Avalonia.Controls.Selection
         {
             if (_writableSelectedItems is INotifyCollectionChanged incc)
             {
-                incc.CollectionChanged += OnSelectedItemsCollectionChanged;
+                incc.CollectionChanged -= OnSelectedItemsCollectionChanged;
             }
         }
 

src/Avalonia.Controls/TextBlock.cs

@@ -113,7 +113,9 @@ namespace Avalonia.Controls
         /// Defines the <see cref="TextAlignment"/> property.
         /// </summary>
         public static readonly AttachedProperty<TextAlignment> TextAlignmentProperty =
-            AvaloniaProperty.RegisterAttached<TextBlock, Control, TextAlignment>(nameof(TextAlignment), 
+            AvaloniaProperty.RegisterAttached<TextBlock, Control, TextAlignment>(
+                nameof(TextAlignment), 
+                defaultValue: TextAlignment.Start,
                 inherits: true);
 
         /// <summary>
@@ -748,14 +750,14 @@ namespace Avalonia.Controls
             {
                 if (textSourceIndex > _text.Length)
                 {
-                    return null;
+                    return new TextEndOfParagraph();
                 }
 
                 var runText = _text.Skip(textSourceIndex);
 
                 if (runText.IsEmpty)
                 {
-                    return null;
+                    return new TextEndOfParagraph();
                 }
 
                 return new TextCharacters(runText, _defaultProperties);

src/Avalonia.Controls/ToolTipService.cs

@@ -26,14 +26,14 @@ namespace Avalonia.Controls
 
             if (e.OldValue != null)
             {
-                control.PointerEnter -= ControlPointerEnter;
+                control.PointerEntered -= ControlPointerEntered;
-                control.PointerLeave -= ControlPointerLeave;
+                control.PointerExited -= ControlPointerExited;
             }
 
             if (e.NewValue != null)
             {
-                control.PointerEnter += ControlPointerEnter;
+                control.PointerEntered += ControlPointerEntered;
-                control.PointerLeave += ControlPointerLeave;
+                control.PointerExited += ControlPointerExited;
             }
 
             if (ToolTip.GetIsOpen(control) && e.NewValue != e.OldValue && !(e.NewValue is ToolTip))
@@ -80,7 +80,7 @@ namespace Avalonia.Controls
         /// </summary>
         /// <param name="sender">The event sender.</param>
         /// <param name="e">The event args.</param>
-        private void ControlPointerEnter(object? sender, PointerEventArgs e)
+        private void ControlPointerEntered(object? sender, PointerEventArgs e)
         {
             StopTimer();
 
@@ -101,7 +101,7 @@ namespace Avalonia.Controls
         /// </summary>
         /// <param name="sender">The event sender.</param>
         /// <param name="e">The event args.</param>
-        private void ControlPointerLeave(object? sender, PointerEventArgs e)
+        private void ControlPointerExited(object? sender, PointerEventArgs e)
         {
             var control = (Control)sender!;
             Close(control);

src/Avalonia.Controls/TopLevel.cs

@@ -484,7 +484,11 @@ namespace Avalonia.Controls
         /// Raises the <see cref="Opened"/> event.
         /// </summary>
         /// <param name="e">The event args.</param>
-        protected virtual void OnOpened(EventArgs e) => Opened?.Invoke(this, e);
+        protected virtual void OnOpened(EventArgs e)
+        {
+            FrameSize = PlatformImpl?.FrameSize;
+            Opened?.Invoke(this, e);  
+        } 
 
         /// <summary>
         /// Raises the <see cref="Closed"/> event.

src/Avalonia.Controls/Window.cs

@@ -871,10 +871,10 @@ namespace Avalonia.Controls
 
             var scaling = owner?.DesktopScaling ?? PlatformImpl?.DesktopScaling ?? 1;
 
-            // TODO: We really need non-client size here.
+            // Use frame size, falling back to client size if the platform can't give it to us.
-            var rect = new PixelRect(
+            var rect = FrameSize.HasValue ?
-                PixelPoint.Origin,
+                new PixelRect(PixelSize.FromSize(FrameSize.Value, scaling)) :
-                PixelSize.FromSize(ClientSize, scaling));
+                new PixelRect(PixelSize.FromSize(ClientSize, scaling));
 
             if (startupLocation == WindowStartupLocation.CenterScreen)
             {
@@ -901,10 +901,10 @@ namespace Avalonia.Controls
             {
                 if (owner != null)
                 {
-                    // TODO: We really need non-client size here.
+                    var ownerSize = owner.FrameSize ?? owner.ClientSize;
                     var ownerRect = new PixelRect(
                         owner.Position,
-                        PixelSize.FromSize(owner.ClientSize, scaling));
+                        PixelSize.FromSize(ownerSize, scaling));
                     Position = ownerRect.CenterRect(rect).Position;
                 }
             }
@@ -991,28 +991,28 @@ namespace Avalonia.Controls
         /// <inheritdoc/>
         protected sealed override void HandleResized(Size clientSize, PlatformResizeReason reason)
         {
-            if (ClientSize == clientSize)
+            if (ClientSize != clientSize || double.IsNaN(Width) || double.IsNaN(Height))
-                return;
-
-            var sizeToContent = SizeToContent;
-
-            // If auto-sizing is enabled, and the resize came from a user resize (or the reason was
-            // unspecified) then turn off auto-resizing for any window dimension that is not equal
-            // to the requested size.
-            if (sizeToContent != SizeToContent.Manual &&
-                CanResize &&
-                reason == PlatformResizeReason.Unspecified ||  
-                reason == PlatformResizeReason.User)
             {
-                if (clientSize.Width != ClientSize.Width)
+                var sizeToContent = SizeToContent;
-                    sizeToContent &= ~SizeToContent.Width;
+
-                if (clientSize.Height != ClientSize.Height)
+                // If auto-sizing is enabled, and the resize came from a user resize (or the reason was
-                    sizeToContent &= ~SizeToContent.Height;
+                // unspecified) then turn off auto-resizing for any window dimension that is not equal
-                SizeToContent = sizeToContent;
+                // to the requested size.
-            }
+                if (sizeToContent != SizeToContent.Manual &&
+                    CanResize &&
+                    reason == PlatformResizeReason.Unspecified ||
+                    reason == PlatformResizeReason.User)
+                {
+                    if (clientSize.Width != ClientSize.Width)
+                        sizeToContent &= ~SizeToContent.Width;
+                    if (clientSize.Height != ClientSize.Height)
+                        sizeToContent &= ~SizeToContent.Height;
+                    SizeToContent = sizeToContent;
+                }
 
-            Width = clientSize.Width;
+                Width = clientSize.Width;
-            Height = clientSize.Height;
+                Height = clientSize.Height;
+            }
 
             base.HandleResized(clientSize, reason);
         }

src/Avalonia.Controls/WindowBase.cs

@@ -169,7 +169,6 @@ namespace Avalonia.Controls
             }
         }
 
-
         [Obsolete("No longer used. Has no effect.")]
         protected IDisposable BeginAutoSizing() => Disposable.Empty;
 
@@ -186,6 +185,26 @@ namespace Avalonia.Controls
             }
         }
 
+        /// <inheritdoc/>
+        protected override void OnClosed(EventArgs e)
+        {
+            // Window must manually raise Loaded/Unloaded events as it is a visual root and
+            // does not raise OnAttachedToVisualTreeCore/OnDetachedFromVisualTreeCore events
+            OnUnloadedCore();
+
+            base.OnClosed(e);
+        }
+
+        /// <inheritdoc/>
+        protected override void OnOpened(EventArgs e)
+        {
+            // Window must manually raise Loaded/Unloaded events as it is a visual root and
+            // does not raise OnAttachedToVisualTreeCore/OnDetachedFromVisualTreeCore events
+            ScheduleOnLoadedCore();
+
+            base.OnOpened(e);
+        }
+
         protected override void HandleClosed()
         {
             _ignoreVisibilityChange = true;
@@ -217,10 +236,14 @@ namespace Avalonia.Controls
         /// <param name="reason">The reason for the resize.</param>
         protected override void HandleResized(Size clientSize, PlatformResizeReason reason)
         {
-            ClientSize = clientSize;
             FrameSize = PlatformImpl?.FrameSize;
-            LayoutManager.ExecuteLayoutPass();
+
-            Renderer?.Resized(clientSize);
+            if (ClientSize != clientSize)
+            {
+                ClientSize = clientSize;
+                LayoutManager.ExecuteLayoutPass();
+                Renderer?.Resized(clientSize);
+            }
         }
 
         /// <summary>

src/Avalonia.Diagnostics/Diagnostics/ViewModels/ControlLayoutViewModel.cs

@@ -30,20 +30,28 @@ namespace Avalonia.Diagnostics.ViewModels
 
             if (control is AvaloniaObject ao)
             {
-                MarginThickness = ao.GetValue(Layoutable.MarginProperty);
+                try
-
-                if (HasPadding)
                 {
-                    PaddingThickness = ao.GetValue(Decorator.PaddingProperty);
+                    _updatingFromControl = true;
-                }
+                    MarginThickness = ao.GetValue(Layoutable.MarginProperty);
+
+                    if (HasPadding)
+                    {
+                        PaddingThickness = ao.GetValue(Decorator.PaddingProperty);
+                    }
 
-                if (HasBorder)
+                    if (HasBorder)
+                    {
+                        BorderThickness = ao.GetValue(Border.BorderThicknessProperty);
+                    }
+
+                    HorizontalAlignment = ao.GetValue(Layoutable.HorizontalAlignmentProperty);
+                    VerticalAlignment = ao.GetValue(Layoutable.VerticalAlignmentProperty);
+                }
+                finally
                 {
-                    BorderThickness = ao.GetValue(Border.BorderThicknessProperty);
+                    _updatingFromControl = false;
                 }
-
-                HorizontalAlignment = ao.GetValue(Layoutable.HorizontalAlignmentProperty);
-                VerticalAlignment = ao.GetValue(Layoutable.VerticalAlignmentProperty);
             }
 
             UpdateSize();

src/Avalonia.Diagnostics/Diagnostics/Views/TreePageView.xaml.cs

@@ -121,8 +121,8 @@ namespace Avalonia.Diagnostics.Views
 
             if (header != null)
             {
-                header.PointerEnter += AddAdorner;
+                header.PointerEntered += AddAdorner;
-                header.PointerLeave += RemoveAdorner;
+                header.PointerExited += RemoveAdorner;
             }
 
             item.TemplateApplied -= TreeViewItemTemplateApplied;

src/Avalonia.Themes.Fluent/Controls/FocusAdorner.xaml

@@ -19,16 +19,4 @@
       </FocusAdornerTemplate>
     </Setter>
   </Style>
-
-  <!--  DottedLine FocusAdorner  -->
-  <Style Selector="Window.DottedLineFocusAdorner :is(Control)">
-    <Setter Property="FocusAdorner">
-      <FocusAdornerTemplate>
-        <Rectangle Stroke="{StaticResource SystemControlFocusVisualPrimaryBrush}"
-                   StrokeThickness="1"
-                   StrokeDashArray="1,2"
-                   Margin="1" />
-      </FocusAdornerTemplate>
-    </Setter>
-  </Style>
 </Styles>

src/Shared/RawEventGrouping.cs

@@ -2,10 +2,8 @@
 using System;
 using System.Collections.Generic;
 using Avalonia.Collections.Pooled;
-using Avalonia.Input;
 using Avalonia.Input.Raw;
 using Avalonia.Threading;
-using JetBrains.Annotations;
 
 namespace Avalonia;
 
@@ -19,7 +17,7 @@ internal class RawEventGrouper : IDisposable
     private readonly Action<RawInputEventArgs> _eventCallback;
     private readonly Queue<RawInputEventArgs> _inputQueue = new();
     private readonly Action _dispatchFromQueue;
-    readonly Dictionary<long, RawTouchEventArgs> _lastTouchPoints = new();
+    readonly Dictionary<long, RawPointerEventArgs> _lastTouchPoints = new();
     RawInputEventArgs? _lastEvent;
 
     public RawEventGrouper(Action<RawInputEventArgs> eventCallback)
@@ -49,7 +47,7 @@ internal class RawEventGrouper : IDisposable
                 _lastEvent = null;
             
             if (ev is RawTouchEventArgs { Type: RawPointerEventType.TouchUpdate } touchUpdate)
-                _lastTouchPoints.Remove(touchUpdate.TouchPointId);
+                _lastTouchPoints.Remove(touchUpdate.RawPointerId);
 
             _eventCallback?.Invoke(ev);
 
@@ -88,11 +86,11 @@ internal class RawEventGrouper : IDisposable
         {
             if (args is RawTouchEventArgs touchEvent)
             {
-                if (_lastTouchPoints.TryGetValue(touchEvent.TouchPointId, out var lastTouchEvent))
+                if (_lastTouchPoints.TryGetValue(touchEvent.RawPointerId, out var lastTouchEvent))
                     MergeEvents(lastTouchEvent, touchEvent);
                 else
                 {
-                    _lastTouchPoints[touchEvent.TouchPointId] = touchEvent;
+                    _lastTouchPoints[touchEvent.RawPointerId] = touchEvent;
                     AddToQueue(touchEvent);
                 }
             }
@@ -105,7 +103,7 @@ internal class RawEventGrouper : IDisposable
         {
             _lastTouchPoints.Clear();
             if (args is RawTouchEventArgs { Type: RawPointerEventType.TouchUpdate } touchEvent)
-                _lastTouchPoints[touchEvent.TouchPointId] = touchEvent;
+                _lastTouchPoints[touchEvent.RawPointerId] = touchEvent;
         }
         AddToQueue(args);
     }

src/Skia/Avalonia.Skia/TextShaperImpl.cs

@@ -85,7 +85,7 @@ namespace Avalonia.Skia
             
             var second = glyphInfos[length - 1];
 
-            if (!new Codepoint((int)second.Codepoint).IsBreakChar)
+            if (!new Codepoint(second.Codepoint).IsBreakChar)
             {
                 return;
             }

src/Windows/Avalonia.Direct2D1/Media/TextShaperImpl.cs

@@ -85,7 +85,7 @@ namespace Avalonia.Direct2D1.Media
 
             var second = glyphInfos[length - 1];
 
-            if (!new Codepoint((int)second.Codepoint).IsBreakChar)
+            if (!new Codepoint(second.Codepoint).IsBreakChar)
             {
                 return;
             }

src/Windows/Avalonia.Win32/Interop/UnmanagedMethods.cs

@@ -225,20 +225,17 @@ namespace Avalonia.Win32.Interop
         [Flags]
         public enum ModifierKeys
         {
-            MK_CONTROL = 0x0008,
+            MK_NONE    = 0x0000,
 
             MK_LBUTTON = 0x0001,
-
-            MK_MBUTTON = 0x0010,
-
             MK_RBUTTON = 0x0002,
 
-            MK_SHIFT = 0x0004,
+            MK_SHIFT   = 0x0004,
-
+            MK_CONTROL = 0x0008,
-            MK_ALT = 0x0020,
 
+            MK_MBUTTON  = 0x0010,
+            MK_ALT      = 0x0020,
             MK_XBUTTON1 = 0x0020,
-
             MK_XBUTTON2 = 0x0040
         }
 
@@ -514,6 +511,33 @@ namespace Avalonia.Win32.Interop
             CS_DROPSHADOW = 0x00020000
         }
 
+        [Flags]
+        public enum PointerDeviceChangeFlags
+        {
+            PDC_ARRIVAL = 0x001,
+            PDC_REMOVAL = 0x002,
+            PDC_ORIENTATION_0 = 0x004,
+            PDC_ORIENTATION_90 = 0x008,
+            PDC_ORIENTATION_180 = 0x010,
+            PDC_ORIENTATION_270 = 0x020,
+            PDC_MODE_DEFAULT = 0x040,
+            PDC_MODE_CENTERED = 0x080,
+            PDC_MAPPING_CHANGE = 0x100,
+            PDC_RESOLUTION = 0x200,
+            PDC_ORIGIN = 0x400,
+            PDC_MODE_ASPECTRATIOPRESERVED = 0x800
+        }
+
+        public enum PointerInputType
+        {
+            PT_NONE = 0x00000000,
+            PT_POINTER = 0x00000001,
+            PT_TOUCH = 0x00000002,
+            PT_PEN = 0x00000003,
+            PT_MOUSE = 0x00000004,
+            PT_TOUCHPAD = 0x00000005
+        }
+
         public enum WindowsMessage : uint
         {
             WM_NULL = 0x0000,
@@ -689,6 +713,25 @@ namespace Avalonia.Win32.Interop
             WM_EXITSIZEMOVE = 0x0232,
             WM_DROPFILES = 0x0233,
             WM_MDIREFRESHMENU = 0x0234,
+
+            WM_POINTERDEVICECHANGE = 0x0238,
+            WM_POINTERDEVICEINRANGE = 0x239,
+            WM_POINTERDEVICEOUTOFRANGE = 0x23A,
+            WM_NCPOINTERUPDATE = 0x0241,
+            WM_NCPOINTERDOWN = 0x0242,
+            WM_NCPOINTERUP = 0x0243,
+            WM_POINTERUPDATE = 0x0245,
+            WM_POINTERDOWN = 0x0246,
+            WM_POINTERUP = 0x0247,
+            WM_POINTERENTER = 0x0249,
+            WM_POINTERLEAVE = 0x024A,
+            WM_POINTERACTIVATE = 0x024B,
+            WM_POINTERCAPTURECHANGED = 0x024C,
+            WM_TOUCHHITTESTING = 0x024D,
+            WM_POINTERWHEEL = 0x024E,
+            WM_POINTERHWHEEL = 0x024F,
+            DM_POINTERHITTEST = 0x0250,
+
             WM_IME_SETCONTEXT = 0x0281,
             WM_IME_NOTIFY = 0x0282,
             WM_IME_CONTROL = 0x0283,
@@ -844,6 +887,134 @@ namespace Avalonia.Win32.Interop
             SCF_ISSECURE = 0x00000001,
         }
 
+        [Flags]
+        public enum PointerFlags
+        {
+            POINTER_FLAG_NONE = 0x00000000,
+            POINTER_FLAG_NEW = 0x00000001,
+            POINTER_FLAG_INRANGE = 0x00000002,
+            POINTER_FLAG_INCONTACT = 0x00000004,
+            POINTER_FLAG_FIRSTBUTTON = 0x00000010,
+            POINTER_FLAG_SECONDBUTTON = 0x00000020,
+            POINTER_FLAG_THIRDBUTTON = 0x00000040,
+            POINTER_FLAG_FOURTHBUTTON = 0x00000080,
+            POINTER_FLAG_FIFTHBUTTON = 0x00000100,
+            POINTER_FLAG_PRIMARY = 0x00002000,
+            POINTER_FLAG_CONFIDENCE = 0x00000400,
+            POINTER_FLAG_CANCELED = 0x00000800,
+            POINTER_FLAG_DOWN = 0x00010000,
+            POINTER_FLAG_UPDATE = 0x00020000,
+            POINTER_FLAG_UP = 0x00040000,
+            POINTER_FLAG_WHEEL = 0x00080000,
+            POINTER_FLAG_HWHEEL = 0x00100000,
+            POINTER_FLAG_CAPTURECHANGED = 0x00200000,
+            POINTER_FLAG_HASTRANSFORM = 0x00400000
+        }
+
+        public enum PointerButtonChangeType : ulong
+        {
+            POINTER_CHANGE_NONE,
+            POINTER_CHANGE_FIRSTBUTTON_DOWN,
+            POINTER_CHANGE_FIRSTBUTTON_UP,
+            POINTER_CHANGE_SECONDBUTTON_DOWN,
+            POINTER_CHANGE_SECONDBUTTON_UP,
+            POINTER_CHANGE_THIRDBUTTON_DOWN,
+            POINTER_CHANGE_THIRDBUTTON_UP,
+            POINTER_CHANGE_FOURTHBUTTON_DOWN,
+            POINTER_CHANGE_FOURTHBUTTON_UP,
+            POINTER_CHANGE_FIFTHBUTTON_DOWN,
+            POINTER_CHANGE_FIFTHBUTTON_UP
+        }
+
+        [Flags]
+        public enum PenFlags
+        {
+            PEN_FLAGS_NONE = 0x00000000,
+            PEN_FLAGS_BARREL = 0x00000001,
+            PEN_FLAGS_INVERTED = 0x00000002,
+            PEN_FLAGS_ERASER = 0x00000004,
+        }
+
+        [Flags]
+        public enum PenMask
+        {
+            PEN_MASK_NONE = 0x00000000,
+            PEN_MASK_PRESSURE = 0x00000001,
+            PEN_MASK_ROTATION = 0x00000002,
+            PEN_MASK_TILT_X = 0x00000004,
+            PEN_MASK_TILT_Y = 0x00000008
+        }
+
+        [Flags]
+        public enum TouchFlags
+        {
+            TOUCH_FLAG_NONE = 0x00000000
+        }
+
+        [Flags]
+        public enum TouchMask
+        {
+            TOUCH_MASK_NONE = 0x00000000,
+            TOUCH_MASK_CONTACTAREA = 0x00000001,
+            TOUCH_MASK_ORIENTATION = 0x00000002,
+            TOUCH_MASK_PRESSURE = 0x00000004,
+        }
+
+        [StructLayout(LayoutKind.Sequential, Pack = 1)]
+        public struct POINTER_TOUCH_INFO
+        {
+            public POINTER_INFO pointerInfo;
+            public TouchFlags touchFlags;
+            public TouchMask touchMask;
+            public int rcContactLeft;
+            public int rcContactTop;
+            public int rcContactRight;
+            public int rcContactBottom;
+            public int rcContactRawLeft;
+            public int rcContactRawTop;
+            public int rcContactRawRight;
+            public int rcContactRawBottom;
+            public uint orientation;
+            public uint pressure;
+        }
+
+        [StructLayout(LayoutKind.Sequential, Pack = 1)]
+        public struct POINTER_PEN_INFO
+        {
+            public POINTER_INFO pointerInfo;
+            public PenFlags penFlags;
+            public PenMask penMask;
+            public uint pressure;
+            public uint rotation;
+            public int tiltX;
+            public int tiltY;
+        }
+
+        [StructLayout(LayoutKind.Sequential, Pack = 1)]
+        public struct POINTER_INFO
+        {
+            public PointerInputType pointerType;
+            public uint pointerId;
+            public uint frameId;
+            public PointerFlags pointerFlags;
+            public IntPtr sourceDevice;
+            public IntPtr hwndTarget;
+            public int ptPixelLocationX;
+            public int ptPixelLocationY;
+            public int ptHimetricLocationX;
+            public int ptHimetricLocationY;
+            public int ptPixelLocationRawX;
+            public int ptPixelLocationRawY;
+            public int ptHimetricLocationRawX;
+            public int ptHimetricLocationRawY;
+            public uint dwTime;
+            public uint historyCount;
+            public int inputData;
+            public ModifierKeys dwKeyStates;
+            public ulong PerformanceCount;
+            public PointerButtonChangeType ButtonChangeType;
+        }
+
         [StructLayout(LayoutKind.Sequential)]
         public struct RGBQUAD
         {
@@ -911,6 +1082,36 @@ namespace Avalonia.Win32.Interop
 
         public const int SizeOf_BITMAPINFOHEADER = 40;
 
+        [DllImport("user32.dll", SetLastError = true)]
+        public static extern bool IsMouseInPointerEnabled();
+
+        [DllImport("user32.dll", SetLastError = true)]
+        public static extern int EnableMouseInPointer(bool enable);
+
+        [DllImport("user32.dll", SetLastError = true)]
+        public static extern bool GetPointerCursorId(uint pointerId, out uint cursorId);
+
+        [DllImport("user32.dll", SetLastError = true)]
+        public static extern bool GetPointerType(uint pointerId, out PointerInputType pointerType);
+
+        [DllImport("user32.dll", SetLastError = true)]
+        public static extern bool GetPointerInfo(uint pointerId, out POINTER_INFO pointerInfo);
+
+        [DllImport("user32.dll", SetLastError = true)]
+        public static extern bool GetPointerInfoHistory(uint pointerId, ref int entriesCount, [MarshalAs(UnmanagedType.LPArray), In, Out] POINTER_INFO[] pointerInfos);
+
+        [DllImport("user32.dll", SetLastError = true)]
+        public static extern bool GetPointerPenInfo(uint pointerId, out POINTER_PEN_INFO penInfo);
+
+        [DllImport("user32.dll", SetLastError = true)]
+        public static extern bool GetPointerPenInfoHistory(uint pointerId, ref int entriesCount, [MarshalAs(UnmanagedType.LPArray), In, Out] POINTER_PEN_INFO[] penInfos);
+
+        [DllImport("user32.dll", SetLastError = true)]
+        public static extern bool GetPointerTouchInfo(uint pointerId, out POINTER_TOUCH_INFO touchInfo);
+
+        [DllImport("user32.dll", SetLastError = true)]
+        public static extern bool GetPointerTouchInfoHistory(uint pointerId, ref int entriesCount, [MarshalAs(UnmanagedType.LPArray), In, Out] POINTER_TOUCH_INFO[] touchInfos);
+
         [DllImport("user32.dll")]
         public static extern bool EnumDisplayMonitors(IntPtr hdc, IntPtr lprcClip,
                                                       MonitorEnumDelegate lpfnEnum, IntPtr dwData);

src/Windows/Avalonia.Win32/Win32Platform.cs

@@ -68,6 +68,7 @@ namespace Avalonia
         /// <remarks>
         /// Multitouch allows a surface (a touchpad or touchscreen) to recognize the presence of more than one point of contact with the surface at the same time.
         /// </remarks>
+        [Obsolete("Multitouch is always enabled on supported Windows versions")]
         public bool? EnableMultitouch { get; set; } = true;
 
         /// <summary>

src/Windows/Avalonia.Win32/WindowImpl.AppWndProc.cs

@@ -1,4 +1,6 @@
 using System;
+using System.Buffers;
+using System.Collections.Generic;
 using System.Diagnostics.CodeAnalysis;
 using System.Runtime.InteropServices;
 using System.Text;
@@ -26,8 +28,8 @@ namespace Avalonia.Win32
             uint timestamp = unchecked((uint)GetMessageTime());
             RawInputEventArgs e = null;
             var shouldTakeFocus = false;
-
+            var message = (WindowsMessage)msg;
-            switch ((WindowsMessage)msg)
+            switch (message)
             {
                 case WindowsMessage.WM_ACTIVATE:
                     {
@@ -82,7 +84,7 @@ namespace Avalonia.Win32
                 case WindowsMessage.WM_DESTROY:
                     {
                         UiaCoreProviderApi.UiaReturnRawElementProvider(_hwnd, IntPtr.Zero, IntPtr.Zero, null);
-                        
+
                         // We need to release IMM context and state to avoid leaks.
                         if (Imm32InputMethod.Current.HWND == _hwnd)
                         {
@@ -108,9 +110,9 @@ namespace Avalonia.Win32
                         var newDisplayRect = Marshal.PtrToStructure<RECT>(lParam);
                         _scaling = dpi / 96.0;
                         ScalingChanged?.Invoke(_scaling);
-                        
+
                         using (SetResizeReason(PlatformResizeReason.DpiChange))
-                        { 
+                        {
                             SetWindowPos(hWnd,
                                 IntPtr.Zero,
                                 newDisplayRect.left,
@@ -178,6 +180,10 @@ namespace Avalonia.Win32
                 case WindowsMessage.WM_MBUTTONDOWN:
                 case WindowsMessage.WM_XBUTTONDOWN:
                     {
+                        if (IsMouseInPointerEnabled)
+                        {
+                            break;
+                        }
                         shouldTakeFocus = ShouldTakeFocusOnClick;
                         if (ShouldIgnoreTouchEmulatedMessage())
                         {
@@ -188,7 +194,7 @@ namespace Avalonia.Win32
                             _mouseDevice,
                             timestamp,
                             _owner,
-                            (WindowsMessage)msg switch
+                            message switch
                             {
                                 WindowsMessage.WM_LBUTTONDOWN => RawPointerEventType.LeftButtonDown,
                                 WindowsMessage.WM_RBUTTONDOWN => RawPointerEventType.RightButtonDown,
@@ -207,6 +213,10 @@ namespace Avalonia.Win32
                 case WindowsMessage.WM_MBUTTONUP:
                 case WindowsMessage.WM_XBUTTONUP:
                     {
+                        if (IsMouseInPointerEnabled)
+                        {
+                            break;
+                        }
                         if (ShouldIgnoreTouchEmulatedMessage())
                         {
                             break;
@@ -216,7 +226,7 @@ namespace Avalonia.Win32
                             _mouseDevice,
                             timestamp,
                             _owner,
-                            (WindowsMessage)msg switch
+                            message switch
                             {
                                 WindowsMessage.WM_LBUTTONUP => RawPointerEventType.LeftButtonUp,
                                 WindowsMessage.WM_RBUTTONUP => RawPointerEventType.RightButtonUp,
@@ -231,11 +241,19 @@ namespace Avalonia.Win32
                     }
                 // Mouse capture is lost
                 case WindowsMessage.WM_CANCELMODE:
-                    _mouseDevice.Capture(null);
+                    if (!IsMouseInPointerEnabled)
+                    {
+                        _mouseDevice.Capture(null);
+                    }
+
                     break;
 
                 case WindowsMessage.WM_MOUSEMOVE:
                     {
+                        if (IsMouseInPointerEnabled)
+                        {
+                            break;
+                        }
                         if (ShouldIgnoreTouchEmulatedMessage())
                         {
                             break;
@@ -259,42 +277,58 @@ namespace Avalonia.Win32
                             timestamp,
                             _owner,
                             RawPointerEventType.Move,
-                            DipFromLParam(lParam), GetMouseModifiers(wParam));
+                            DipFromLParam(lParam),
+                            GetMouseModifiers(wParam));
 
                         break;
                     }
 
                 case WindowsMessage.WM_MOUSEWHEEL:
                     {
+                        if (IsMouseInPointerEnabled)
+                        {
+                            break;
+                        }
                         e = new RawMouseWheelEventArgs(
                             _mouseDevice,
                             timestamp,
                             _owner,
                             PointToClient(PointFromLParam(lParam)),
-                            new Vector(0, (ToInt32(wParam) >> 16) / wheelDelta), GetMouseModifiers(wParam));
+                            new Vector(0, (ToInt32(wParam) >> 16) / wheelDelta),
+                            GetMouseModifiers(wParam));
                         break;
                     }
 
                 case WindowsMessage.WM_MOUSEHWHEEL:
                     {
+                        if (IsMouseInPointerEnabled)
+                        {
+                            break;
+                        }
                         e = new RawMouseWheelEventArgs(
                             _mouseDevice,
                             timestamp,
                             _owner,
                             PointToClient(PointFromLParam(lParam)),
-                            new Vector(-(ToInt32(wParam) >> 16) / wheelDelta, 0), GetMouseModifiers(wParam));
+                            new Vector(-(ToInt32(wParam) >> 16) / wheelDelta, 0),
+                            GetMouseModifiers(wParam));
                         break;
                     }
 
                 case WindowsMessage.WM_MOUSELEAVE:
                     {
+                        if (IsMouseInPointerEnabled)
+                        {
+                            break;
+                        }
                         _trackingMouse = false;
                         e = new RawPointerEventArgs(
                             _mouseDevice,
                             timestamp,
                             _owner,
                             RawPointerEventType.LeaveWindow,
-                            new Point(-1, -1), WindowsKeyboardDevice.Instance.Modifiers);
+                            new Point(-1, -1),
+                            WindowsKeyboardDevice.Instance.Modifiers);
                         break;
                     }
 
@@ -303,11 +337,15 @@ namespace Avalonia.Win32
                 case WindowsMessage.WM_NCMBUTTONDOWN:
                 case WindowsMessage.WM_NCXBUTTONDOWN:
                     {
+                        if (IsMouseInPointerEnabled)
+                        {
+                            break;
+                        }
                         e = new RawPointerEventArgs(
                             _mouseDevice,
                             timestamp,
                             _owner,
-                            (WindowsMessage)msg switch
+                            message switch
                             {
                                 WindowsMessage.WM_NCLBUTTONDOWN => RawPointerEventType
                                     .NonClientLeftButtonDown,
@@ -323,6 +361,10 @@ namespace Avalonia.Win32
                     }
                 case WindowsMessage.WM_TOUCH:
                     {
+                        if (_wmPointerEnabled)
+                        {
+                            break;
+                        }
                         var touchInputCount = wParam.ToInt32();
 
                         var pTouchInputs = stackalloc TOUCHINPUT[touchInputCount];
@@ -348,6 +390,120 @@ namespace Avalonia.Win32
                             return IntPtr.Zero;
                         }
 
+                        break;
+                    }
+                case WindowsMessage.WM_NCPOINTERDOWN:
+                case WindowsMessage.WM_NCPOINTERUP:
+                case WindowsMessage.WM_POINTERDOWN:
+                case WindowsMessage.WM_POINTERUP:
+                case WindowsMessage.WM_POINTERUPDATE:
+                    {
+                        if (!_wmPointerEnabled)
+                        {
+                            break;
+                        }
+                        GetDevicePointerInfo(wParam, out var device, out var info, out var point, out var modifiers, ref timestamp);
+                        var eventType = GetEventType(message, info);
+
+                        var args = CreatePointerArgs(device, timestamp, eventType, point, modifiers, info.pointerId);
+                        args.IntermediatePoints = CreateLazyIntermediatePoints(info);
+                        e = args;
+                        break;
+                    }
+                case WindowsMessage.WM_POINTERDEVICEOUTOFRANGE:
+                case WindowsMessage.WM_POINTERLEAVE:
+                case WindowsMessage.WM_POINTERCAPTURECHANGED:
+                    {
+                        if (!_wmPointerEnabled)
+                        {
+                            break;
+                        }
+                        GetDevicePointerInfo(wParam, out var device, out var info, out var point, out var modifiers, ref timestamp);
+                        var eventType = device is TouchDevice ? RawPointerEventType.TouchCancel : RawPointerEventType.LeaveWindow;
+                        e = CreatePointerArgs(device, timestamp, eventType, point, modifiers, info.pointerId);
+                        break;
+                    }
+                case WindowsMessage.WM_POINTERWHEEL:
+                case WindowsMessage.WM_POINTERHWHEEL:
+                    {
+                        if (!_wmPointerEnabled)
+                        {
+                            break;
+                        }
+                        GetDevicePointerInfo(wParam, out var device, out var info, out var point, out var modifiers, ref timestamp);
+
+                        var val = (ToInt32(wParam) >> 16) / wheelDelta;
+                        var delta = message == WindowsMessage.WM_POINTERWHEEL ? new Vector(0, val) : new Vector(val, 0);
+                        e = new RawMouseWheelEventArgs(device, timestamp, _owner, point.Position, delta, modifiers)
+                        {
+                            RawPointerId = info.pointerId
+                        };
+                        break;
+                    }
+                case WindowsMessage.WM_POINTERDEVICEINRANGE:
+                    {
+                        if (!_wmPointerEnabled)
+                        {
+                            break;
+                        }
+
+                        // Do not generate events, but release mouse capture on any other device input.
+                        GetDevicePointerInfo(wParam, out var device, out var info, out var point, out var modifiers, ref timestamp);
+                        if (device != _mouseDevice)
+                        {
+                            _mouseDevice.Capture(null);
+                            return IntPtr.Zero;
+                        }
+                        break;
+                    }
+                case WindowsMessage.WM_POINTERACTIVATE:
+                    {
+                        //occurs when a pointer activates an inactive window.
+                        //we should handle this and return PA_ACTIVATE or PA_NOACTIVATE
+                        //https://docs.microsoft.com/en-us/previous-versions/windows/desktop/inputmsg/wm-pointeractivate
+                        break;
+                    }
+                case WindowsMessage.WM_POINTERDEVICECHANGE:
+                    {
+                        //notifies about changes in the settings of a monitor that has a digitizer attached to it.
+                        //https://docs.microsoft.com/en-us/previous-versions/windows/desktop/inputmsg/wm-pointerdevicechange
+                        break;
+                    }
+                case WindowsMessage.WM_NCPOINTERUPDATE:
+                    {
+                        //NC stands for non-client area - window header and window border
+                        //As I found above in an old message handling - we dont need to handle NC pointer move/updates.
+                        //All we need is pointer down and up. So this is skipped for now.
+                        break;
+                    }
+                case WindowsMessage.WM_POINTERENTER:
+                    {
+                        //this is not handled by WM_MOUSEENTER so I think there is no need to handle this too.
+                        //but we can detect a new pointer by this message and calling IS_POINTER_NEW_WPARAM
+
+                        //note: by using a pen there can be a pointer leave or enter inside a window coords
+                        //when you are just lift up the pen above the display
+                        break;
+                    }
+                case WindowsMessage.DM_POINTERHITTEST:
+                    {
+                        //DM stands for direct manipulation.
+                        //https://docs.microsoft.com/en-us/previous-versions/windows/desktop/directmanipulation/direct-manipulation-portal
+                        break;
+                    }
+                case WindowsMessage.WM_TOUCHHITTESTING:
+                    {
+                        //This is to determine the most probable touch target.
+                        //provides an input bounding box and receives hit proximity
+                        //https://docs.microsoft.com/en-us/previous-versions/windows/desktop/inputmsg/wm-touchhittesting
+                        //https://docs.microsoft.com/en-us/windows/win32/api/winuser/ns-winuser-touch_hit_testing_input
+                        break;
+                    }
+                case WindowsMessage.WM_PARENTNOTIFY:
+                    {
+                        //This message is sent in a dialog scenarios. Contains mouse position.
+                        //Old message, but listed in the wm_pointer reference
+                        //https://docs.microsoft.com/en-us/previous-versions/windows/desktop/inputmsg/wm-parentnotify
                         break;
                     }
                 case WindowsMessage.WM_NCPAINT:
@@ -446,7 +602,7 @@ namespace Avalonia.Win32
                 case WindowsMessage.WM_GETMINMAXINFO:
                     {
                         MINMAXINFO mmi = Marshal.PtrToStructure<MINMAXINFO>(lParam);
-                        
+
                         _maxTrackSize = mmi.ptMaxTrackSize;
 
                         if (_minSize.Width > 0)
@@ -530,7 +686,7 @@ namespace Avalonia.Win32
             if (_managedDrag.PreprocessInputEvent(ref e))
                 return UnmanagedMethods.DefWindowProc(hWnd, msg, wParam, lParam);
 #endif
-            
+
             if(shouldTakeFocus)
             {
                 SetFocus(_hwnd);
@@ -540,7 +696,7 @@ namespace Avalonia.Win32
             {
                 Input(e);
 
-                if ((WindowsMessage)msg == WindowsMessage.WM_KEYDOWN)
+                if (message == WindowsMessage.WM_KEYDOWN)
                 {
                     // Handling a WM_KEYDOWN message should cause the subsequent WM_CHAR message to
                     // be ignored. This should be safe to do as WM_CHAR should only be produced in
@@ -549,6 +705,11 @@ namespace Avalonia.Win32
                     _ignoreWmChar = e.Handled;
                 }
 
+                if (s_intermediatePointsPooledList.Count > 0)
+                {
+                    s_intermediatePointsPooledList.Dispose();
+                }
+
                 if (e.Handled)
                 {
                     return IntPtr.Zero;
@@ -561,6 +722,196 @@ namespace Avalonia.Win32
             }
         }
 
+        private unsafe Lazy<IReadOnlyList<RawPointerPoint>> CreateLazyIntermediatePoints(POINTER_INFO info)
+        {
+            var historyCount = Math.Min((int)info.historyCount, MaxPointerHistorySize);
+            if (historyCount > 1)
+            {
+                return new Lazy<IReadOnlyList<RawPointerPoint>>(() =>
+                {
+                    s_intermediatePointsPooledList.Clear();
+                    s_intermediatePointsPooledList.Capacity = historyCount;
+
+                    // Pointers in history are ordered from newest to oldest, so we need to reverse iteration.
+                    // Also we skip the newest pointer, because original event arguments already contains it.
+
+                    if (info.pointerType == PointerInputType.PT_TOUCH)
+                    {
+                        if (GetPointerTouchInfoHistory(info.pointerId, ref historyCount, s_historyTouchInfos))
+                        {
+                            for (int i = historyCount - 1; i >= 1; i--)
+                            {
+                                var historyTouchInfo = s_historyTouchInfos[i];
+                                s_intermediatePointsPooledList.Add(CreateRawPointerPoint(historyTouchInfo));
+                            }
+                        }
+                    }
+                    else if (info.pointerType == PointerInputType.PT_PEN)
+                    {
+                        if (GetPointerPenInfoHistory(info.pointerId, ref historyCount, s_historyPenInfos))
+                        {
+                            for (int i = historyCount - 1; i >= 1; i--)
+                            {
+                                var historyPenInfo = s_historyPenInfos[i];
+                                s_intermediatePointsPooledList.Add(CreateRawPointerPoint(historyPenInfo));
+                            }
+                        }
+                    }
+                    else
+                    {
+                        // Currently Windows does not return history info for mouse input, but we handle it just for case.
+                        if (GetPointerInfoHistory(info.pointerId, ref historyCount, s_historyInfos))
+                        {
+                            for (int i = historyCount - 1; i >= 1; i--)
+                            {
+                                var historyInfo = s_historyInfos[i];
+                                s_intermediatePointsPooledList.Add(CreateRawPointerPoint(historyInfo));
+                            }
+                        }
+                    }
+                    return s_intermediatePointsPooledList;
+                });
+            }
+
+            return null;
+        }
+
+        private RawPointerEventArgs CreatePointerArgs(IInputDevice device, ulong timestamp, RawPointerEventType eventType, RawPointerPoint point, RawInputModifiers modifiers, uint rawPointerId)
+        {
+            return device is TouchDevice
+                ? new RawTouchEventArgs(device, timestamp, _owner, eventType, point, modifiers, rawPointerId)
+                : new RawPointerEventArgs(device, timestamp, _owner, eventType, point, modifiers)
+                {
+                    RawPointerId = rawPointerId
+                };
+        }
+
+        private void GetDevicePointerInfo(IntPtr wParam,
+            out IPointerDevice device, out POINTER_INFO info, out RawPointerPoint point,
+            out RawInputModifiers modifiers, ref uint timestamp)
+        {
+            var pointerId = (uint)(ToInt32(wParam) & 0xFFFF);
+            GetPointerType(pointerId, out var type);
+
+            modifiers = default;
+
+            switch (type)
+            {
+                case PointerInputType.PT_PEN:
+                    device = _penDevice;
+                    GetPointerPenInfo(pointerId, out var penInfo);
+                    info = penInfo.pointerInfo;
+                    point = CreateRawPointerPoint(penInfo);
+                    if (penInfo.penFlags.HasFlag(PenFlags.PEN_FLAGS_BARREL))
+                    {
+                        modifiers |= RawInputModifiers.PenBarrelButton;
+                    }
+                    if (penInfo.penFlags.HasFlag(PenFlags.PEN_FLAGS_ERASER))
+                    {
+                        modifiers |= RawInputModifiers.PenEraser;
+                    }
+                    if (penInfo.penFlags.HasFlag(PenFlags.PEN_FLAGS_INVERTED))
+                    {
+                        modifiers |= RawInputModifiers.PenInverted;
+                    }
+                    break;
+                case PointerInputType.PT_TOUCH:
+                    device = _touchDevice;
+                    GetPointerTouchInfo(pointerId, out var touchInfo);
+                    info = touchInfo.pointerInfo;
+                    point = CreateRawPointerPoint(touchInfo);
+                    break;
+                default:
+                    device = _mouseDevice;
+                    GetPointerInfo(pointerId, out info);
+                    point = CreateRawPointerPoint(info);
+                    break;
+            }
+
+            if (info.dwTime != 0)
+            {
+                timestamp = info.dwTime;
+            }
+
+            modifiers |= GetInputModifiers(info.pointerFlags);
+        }
+
+        private RawPointerPoint CreateRawPointerPoint(POINTER_INFO pointerInfo)
+        {
+            var point = PointToClient(new PixelPoint(pointerInfo.ptPixelLocationX, pointerInfo.ptPixelLocationY));
+            return new RawPointerPoint
+            {
+                Position = point
+            };
+        }
+        private RawPointerPoint CreateRawPointerPoint(POINTER_TOUCH_INFO info)
+        {
+            var pointerInfo = info.pointerInfo;
+            var point = PointToClient(new PixelPoint(pointerInfo.ptPixelLocationX, pointerInfo.ptPixelLocationY));
+            return new RawPointerPoint
+            {
+                Position = point,
+                // POINTER_PEN_INFO.pressure is normalized to a range between 0 and 1024, with 512 as a default.
+                // But in our API we use range from 0.0 to 1.0.
+                Pressure = info.pressure / 1024f
+            };
+        }
+        private RawPointerPoint CreateRawPointerPoint(POINTER_PEN_INFO info)
+        {
+            var pointerInfo = info.pointerInfo;
+            var point = PointToClient(new PixelPoint(pointerInfo.ptPixelLocationX, pointerInfo.ptPixelLocationY));
+            return new RawPointerPoint
+            {
+                Position = point,
+                // POINTER_PEN_INFO.pressure is normalized to a range between 0 and 1024, with 512 as a default.
+                // But in our API we use range from 0.0 to 1.0.
+                Pressure = info.pressure / 1024f,
+                Twist = info.rotation,
+                XTilt = info.tiltX,
+                YTilt = info.tiltY
+            };
+        }
+
+        private static RawPointerEventType GetEventType(WindowsMessage message, POINTER_INFO info)
+        {
+            var isTouch = info.pointerType == PointerInputType.PT_TOUCH;
+            if (info.pointerFlags.HasFlag(PointerFlags.POINTER_FLAG_CANCELED))
+            {
+                return isTouch ? RawPointerEventType.TouchCancel : RawPointerEventType.LeaveWindow;
+            }
+
+            var eventType = ToEventType(info.ButtonChangeType, isTouch);
+            if (eventType == RawPointerEventType.LeftButtonDown &&
+                message == WindowsMessage.WM_NCPOINTERDOWN)
+            {
+                eventType = RawPointerEventType.NonClientLeftButtonDown;
+            }
+
+            return eventType;
+        }
+
+        private static RawPointerEventType ToEventType(PointerButtonChangeType type, bool isTouch)
+        {
+            return type switch
+            {
+                PointerButtonChangeType.POINTER_CHANGE_FIRSTBUTTON_DOWN when isTouch => RawPointerEventType.TouchBegin,
+                PointerButtonChangeType.POINTER_CHANGE_FIRSTBUTTON_DOWN when !isTouch => RawPointerEventType.LeftButtonDown,
+                PointerButtonChangeType.POINTER_CHANGE_SECONDBUTTON_DOWN => RawPointerEventType.RightButtonDown,
+                PointerButtonChangeType.POINTER_CHANGE_THIRDBUTTON_DOWN => RawPointerEventType.MiddleButtonDown,
+                PointerButtonChangeType.POINTER_CHANGE_FOURTHBUTTON_DOWN => RawPointerEventType.XButton1Down,
+                PointerButtonChangeType.POINTER_CHANGE_FIFTHBUTTON_DOWN => RawPointerEventType.XButton2Down,
+
+                PointerButtonChangeType.POINTER_CHANGE_FIRSTBUTTON_UP when isTouch => RawPointerEventType.TouchEnd,
+                PointerButtonChangeType.POINTER_CHANGE_FIRSTBUTTON_UP when !isTouch => RawPointerEventType.LeftButtonUp,
+                PointerButtonChangeType.POINTER_CHANGE_SECONDBUTTON_UP => RawPointerEventType.RightButtonUp,
+                PointerButtonChangeType.POINTER_CHANGE_THIRDBUTTON_UP => RawPointerEventType.MiddleButtonUp,
+                PointerButtonChangeType.POINTER_CHANGE_FOURTHBUTTON_UP => RawPointerEventType.XButton1Up,
+                PointerButtonChangeType.POINTER_CHANGE_FIFTHBUTTON_UP => RawPointerEventType.XButton2Up,
+                _ when isTouch => RawPointerEventType.TouchUpdate,
+                _ => RawPointerEventType.Move
+            };
+        }
+
         private void UpdateInputMethod(IntPtr hkl)
         {
             // note: for non-ime language, also create it so that emoji panel tracks cursor
@@ -568,11 +919,11 @@ namespace Avalonia.Win32
             if (langid == _langid && Imm32InputMethod.Current.HWND == Hwnd)
             {
                 return;
-            } 
+            }
             _langid = langid;
 
             Imm32InputMethod.Current.SetLanguageAndWindow(this, Hwnd, hkl);
-            
+
         }
 
         private static int ToInt32(IntPtr ptr)
@@ -597,10 +948,7 @@ namespace Avalonia.Win32
 
         private bool ShouldIgnoreTouchEmulatedMessage()
         {
-            if (!_multitouch)
+            // Note: GetMessageExtraInfo doesn't work with WM_POINTER events.
-            {
-                return false;
-            }
 
             // MI_WP_SIGNATURE
             // https://docs.microsoft.com/en-us/windows/win32/tablet/system-events-and-mouse-messages
@@ -613,6 +961,11 @@ namespace Avalonia.Win32
         private static RawInputModifiers GetMouseModifiers(IntPtr wParam)
         {
             var keys = (ModifierKeys)ToInt32(wParam);
+            return GetInputModifiers(keys);
+        }
+
+        private static RawInputModifiers GetInputModifiers(ModifierKeys keys)
+        {
             var modifiers = WindowsKeyboardDevice.Instance.Modifiers;
 
             if (keys.HasAllFlags(ModifierKeys.MK_LBUTTON))
@@ -642,5 +995,37 @@ namespace Avalonia.Win32
 
             return modifiers;
         }
+
+        private static RawInputModifiers GetInputModifiers(PointerFlags flags)
+        {
+            var modifiers = WindowsKeyboardDevice.Instance.Modifiers;
+
+            if (flags.HasAllFlags(PointerFlags.POINTER_FLAG_FIRSTBUTTON))
+            {
+                modifiers |= RawInputModifiers.LeftMouseButton;
+            }
+
+            if (flags.HasAllFlags(PointerFlags.POINTER_FLAG_SECONDBUTTON))
+            {
+                modifiers |= RawInputModifiers.RightMouseButton;
+            }
+
+            if (flags.HasAllFlags(PointerFlags.POINTER_FLAG_THIRDBUTTON))
+            {
+                modifiers |= RawInputModifiers.MiddleMouseButton;
+            }
+
+            if (flags.HasAllFlags(PointerFlags.POINTER_FLAG_FOURTHBUTTON))
+            {
+                modifiers |= RawInputModifiers.XButton1MouseButton;
+            }
+
+            if (flags.HasAllFlags(PointerFlags.POINTER_FLAG_FIFTHBUTTON))
+            {
+                modifiers |= RawInputModifiers.XButton2MouseButton;
+            }
+
+            return modifiers;
+        }
     }
 }

src/Windows/Avalonia.Win32/WindowImpl.cs

@@ -1,6 +1,7 @@
 using System;
 using System.Collections.Generic;
 using System.ComponentModel;
+using System.Linq;
 using System.Runtime.InteropServices;
 using Avalonia.Controls;
 using Avalonia.Automation.Peers;
@@ -21,6 +22,7 @@ using Avalonia.Win32.OpenGl;
 using Avalonia.Win32.WinRT;
 using Avalonia.Win32.WinRT.Composition;
 using static Avalonia.Win32.Interop.UnmanagedMethods;
+using Avalonia.Collections.Pooled;
 using Avalonia.Metadata;
 
 namespace Avalonia.Win32
@@ -68,18 +70,19 @@ namespace Avalonia.Win32
         private const WindowStyles WindowStateMask = (WindowStyles.WS_MAXIMIZE | WindowStyles.WS_MINIMIZE);
         private readonly TouchDevice _touchDevice;
         private readonly MouseDevice _mouseDevice;
+        private readonly PenDevice _penDevice;
         private readonly ManagedDeferredRendererLock _rendererLock;
         private readonly FramebufferManager _framebuffer;
         private readonly IGlPlatformSurface _gl;
+        private readonly bool _wmPointerEnabled;
 
         private Win32NativeControlHost _nativeControlHost;
         private WndProc _wndProcDelegate;
         private string _className;
         private IntPtr _hwnd;
-        private bool _multitouch;
         private IInputRoot _owner;
         private WindowProperties _windowProperties;
-        private bool _trackingMouse;
+        private bool _trackingMouse;//ToDo - there is something missed. Needs investigation @Steven Kirk
         private bool _topmost;
         private double _scaling = 1;
         private WindowState _showWindowState;
@@ -96,10 +99,17 @@ namespace Avalonia.Win32
         private uint _langid;
         private bool _ignoreWmChar;
 
+        private const int MaxPointerHistorySize = 512;
+        private static readonly PooledList<RawPointerPoint> s_intermediatePointsPooledList = new();
+        private static readonly POINTER_TOUCH_INFO[] s_historyTouchInfos = new POINTER_TOUCH_INFO[MaxPointerHistorySize];
+        private static readonly POINTER_PEN_INFO[] s_historyPenInfos = new POINTER_PEN_INFO[MaxPointerHistorySize];
+        private static readonly POINTER_INFO[] s_historyInfos = new POINTER_INFO[MaxPointerHistorySize];
+
         public WindowImpl()
         {
             _touchDevice = new TouchDevice();
             _mouseDevice = new WindowsMouseDevice();
+            _penDevice = new PenDevice();
 
 #if USE_MANAGED_DRAG
             _managedDrag = new ManagedWindowResizeDragHelper(this, capture =>
@@ -128,6 +138,8 @@ namespace Avalonia.Win32
                     egl.Display is AngleWin32EglDisplay angleDisplay &&
                     angleDisplay.PlatformApi == AngleOptions.PlatformApi.DirectX11;
 
+            _wmPointerEnabled = Win32Platform.WindowsVersion >= PlatformConstants.Windows8;
+
             CreateWindow();
             _framebuffer = new FramebufferManager(_hwnd);
             UpdateInputMethod(GetKeyboardLayout(0));
@@ -208,6 +220,8 @@ namespace Avalonia.Win32
             }
         }
 
+        private double PrimaryScreenRenderScaling => Screen.AllScreens.FirstOrDefault(screen => screen.Primary)?.PixelDensity ?? 1;
+
         public double RenderScaling => _scaling;
 
         public double DesktopScaling => RenderScaling;
@@ -280,6 +294,8 @@ namespace Avalonia.Win32
 
         protected IntPtr Hwnd => _hwnd;
 
+        private bool IsMouseInPointerEnabled => _wmPointerEnabled && IsMouseInPointerEnabled();
+
         public void SetTransparencyLevelHint(WindowTransparencyLevel transparencyLevel)
         {
             TransparencyLevel = EnableBlur(transparencyLevel);
@@ -469,10 +485,14 @@ namespace Avalonia.Win32
             {
                 GetWindowRect(_hwnd, out var rc);
 
-                return new PixelPoint(rc.left, rc.top);
+                var border = HiddenBorderSize;
+                return new PixelPoint(rc.left + border.Width, rc.top + border.Height);
             }
             set
             {
+                var border = HiddenBorderSize;
+                value = new PixelPoint(value.X - border.Width, value.Y - border.Height);
+
                 SetWindowPos(
                     Handle.Handle,
                     IntPtr.Zero,
@@ -486,6 +506,24 @@ namespace Avalonia.Win32
 
         private bool HasFullDecorations => _windowProperties.Decorations == SystemDecorations.Full;
 
+        private PixelSize HiddenBorderSize
+        {
+            get
+            {
+                // Windows 10 and 11 add a 7 pixel invisible border on the left/right/bottom of windows for resizing
+                if (Win32Platform.WindowsVersion.Major < 10 || !HasFullDecorations)
+                {
+                    return PixelSize.Empty;
+                }
+
+                DwmGetWindowAttribute(_hwnd, (int)DwmWindowAttribute.DWMWA_EXTENDED_FRAME_BOUNDS, out var clientRect, Marshal.SizeOf(typeof(RECT)));
+                GetWindowRect(_hwnd, out var frameRect);
+                var borderWidth = GetSystemMetrics(SystemMetric.SM_CXBORDER);
+
+                return new PixelSize(clientRect.left - frameRect.left - borderWidth, 0);
+            }
+        }
+
         public void Move(PixelPoint point) => Position = point;
 
         public void SetMinMaxSize(Size minSize, Size maxSize)
@@ -790,12 +828,7 @@ namespace Avalonia.Win32
 
             Handle = new WindowImplPlatformHandle(this);
 
-            _multitouch = Win32Platform.Options.EnableMultitouch ?? true;
+            RegisterTouchWindow(_hwnd, 0);
-
-            if (_multitouch)
-            {
-                RegisterTouchWindow(_hwnd, 0);
-            }
 
             if (ShCoreAvailable && Win32Platform.WindowsVersion > PlatformConstants.Windows8)
             {
@@ -904,22 +937,25 @@ namespace Avalonia.Win32
                 borderCaptionThickness.top = 1;
             }
 
+            //using a default margin of 0 when using WinUiComp removes artefacts when resizing. See issue #8316
+            var defaultMargin = _isUsingComposition ? 0 : 1;
+
             MARGINS margins = new MARGINS();
-            margins.cxLeftWidth = 1;
+            margins.cxLeftWidth = defaultMargin;
-            margins.cxRightWidth = 1;
+            margins.cxRightWidth = defaultMargin;
-            margins.cyBottomHeight = 1;
+            margins.cyBottomHeight = defaultMargin;
 
             if (_extendTitleBarHint != -1)
             {
                 borderCaptionThickness.top = (int)(_extendTitleBarHint * RenderScaling);
             }
 
-            margins.cyTopHeight = _extendChromeHints.HasAllFlags(ExtendClientAreaChromeHints.SystemChrome) && !_extendChromeHints.HasAllFlags(ExtendClientAreaChromeHints.PreferSystemChrome) ? borderCaptionThickness.top : 1;
+            margins.cyTopHeight = _extendChromeHints.HasAllFlags(ExtendClientAreaChromeHints.SystemChrome) && !_extendChromeHints.HasAllFlags(ExtendClientAreaChromeHints.PreferSystemChrome) ? borderCaptionThickness.top : defaultMargin;
 
             if (WindowState == WindowState.Maximized)
             {
                 _extendedMargins = new Thickness(0, (borderCaptionThickness.top - borderThickness.top) / RenderScaling, 0, 0);
-                _offScreenMargin = new Thickness(borderThickness.left / RenderScaling, borderThickness.top / RenderScaling, borderThickness.right / RenderScaling, borderThickness.bottom / RenderScaling);
+                _offScreenMargin = new Thickness(borderThickness.left / PrimaryScreenRenderScaling, borderThickness.top / PrimaryScreenRenderScaling, borderThickness.right / PrimaryScreenRenderScaling, borderThickness.bottom / PrimaryScreenRenderScaling);
             }
             else
             {

tests/Avalonia.Base.UnitTests/Input/PointerOverTests.cs

@@ -189,7 +189,7 @@ namespace Avalonia.Base.UnitTests.Input
 
             // Ensure that e.Handled is reset between controls.
             root.PointerMoved += (s, e) => e.Handled = true;
-            decorator.PointerEnter += (s, e) => e.Handled = true;
+            decorator.PointerEntered += (s, e) => e.Handled = true;
 
             SetHit(renderer, decorator);
             impl.Object.Input!(CreateRawPointerMovedArgs(device, root));
@@ -231,7 +231,7 @@ namespace Avalonia.Base.UnitTests.Input
                 }
             });
 
-            AddEnterLeaveHandlers(HandleEvent, canvas, decorator);
+            AddEnteredExitedHandlers(HandleEvent, canvas, decorator);
 
             // Enter decorator
             SetHit(renderer, decorator);
@@ -246,17 +246,17 @@ namespace Avalonia.Base.UnitTests.Input
             Assert.Equal(
                 new[]
                 {
-                        ((object?)decorator, "PointerEnter"),
+                        ((object?)decorator, nameof(InputElement.PointerEntered)),
-                        (decorator, "PointerMoved"),
+                        (decorator, nameof(InputElement.PointerMoved)),
-                        (decorator, "PointerLeave"),
+                        (decorator, nameof(InputElement.PointerExited)),
-                        (canvas, "PointerEnter"),
+                        (canvas, nameof(InputElement.PointerEntered)),
-                        (canvas, "PointerMoved")
+                        (canvas, nameof(InputElement.PointerMoved))
                 },
                 result);
         }
 
         [Fact]
-        public void PointerEnter_Leave_Should_Be_Raised_In_Correct_Order()
+        public void PointerEntered_Exited_Should_Be_Raised_In_Correct_Order()
         {
             using var app = UnitTestApplication.Start(new TestServices(inputManager: new InputManager()));
 
@@ -289,7 +289,7 @@ namespace Avalonia.Base.UnitTests.Input
             SetHit(renderer, canvas);
             impl.Object.Input!(CreateRawPointerMovedArgs(deviceMock.Object, root));
 
-            AddEnterLeaveHandlers(HandleEvent, root, canvas, border, decorator);
+            AddEnteredExitedHandlers(HandleEvent, root, canvas, border, decorator);
 
             SetHit(renderer, decorator);
             impl.Object.Input!(CreateRawPointerMovedArgs(deviceMock.Object, root));
@@ -297,16 +297,16 @@ namespace Avalonia.Base.UnitTests.Input
             Assert.Equal(
                 new[]
                 {
-                    ((object?)canvas, "PointerLeave"),
+                    ((object?)canvas, nameof(InputElement.PointerExited)),
-                    (decorator, "PointerEnter"),
+                    (decorator, nameof(InputElement.PointerEntered)),
-                    (border, "PointerEnter"),
+                    (border, nameof(InputElement.PointerEntered)),
                 },
                 result);
         }
 
         // https://github.com/AvaloniaUI/Avalonia/issues/7896
         [Fact]
-        public void PointerEnter_Leave_Should_Set_Correct_Position()
+        public void PointerEntered_Exited_Should_Set_Correct_Position()
         {
             using var app = UnitTestApplication.Start(new TestServices(inputManager: new InputManager()));
 
@@ -331,7 +331,7 @@ namespace Avalonia.Base.UnitTests.Input
                 }
             });
 
-            AddEnterLeaveHandlers(HandleEvent, root, canvas);
+            AddEnteredExitedHandlers(HandleEvent, root, canvas);
 
             SetHit(renderer, canvas);
             impl.Object.Input!(CreateRawPointerMovedArgs(deviceMock.Object, root, expectedPosition));
@@ -342,10 +342,10 @@ namespace Avalonia.Base.UnitTests.Input
             Assert.Equal(
                 new[]
                 {
-                    ((object?)canvas, "PointerEnter", expectedPosition),
+                    ((object?)canvas, nameof(InputElement.PointerEntered), expectedPosition),
-                    (root, "PointerEnter", expectedPosition),
+                    (root, nameof(InputElement.PointerEntered), expectedPosition),
-                    (canvas, "PointerLeave", expectedPosition),
+                    (canvas, nameof(InputElement.PointerExited), expectedPosition),
-                    (root, "PointerLeave", expectedPosition)
+                    (root, nameof(InputElement.PointerExited), expectedPosition)
                 },
                 result);
         }
@@ -415,7 +415,7 @@ namespace Avalonia.Base.UnitTests.Input
                 }
             });
 
-            AddEnterLeaveHandlers(HandleEvent, root, canvas);
+            AddEnteredExitedHandlers(HandleEvent, root, canvas);
 
             // Init pointer over.
             SetHit(renderer, canvas);
@@ -429,22 +429,22 @@ namespace Avalonia.Base.UnitTests.Input
             Assert.Equal(
                 new[]
                 {
-                    ((object?)canvas, "PointerEnter", lastClientPosition),
+                    ((object?)canvas, nameof(InputElement.PointerEntered), lastClientPosition),
-                    (root, "PointerEnter", lastClientPosition),
+                    (root, nameof(InputElement.PointerEntered), lastClientPosition),
-                    (canvas, "PointerLeave", lastClientPosition),
+                    (canvas, nameof(InputElement.PointerExited), lastClientPosition),
-                    (root, "PointerLeave", lastClientPosition),
+                    (root, nameof(InputElement.PointerExited), lastClientPosition),
                 },
                 result);
         }
 
-        private static void AddEnterLeaveHandlers(
+        private static void AddEnteredExitedHandlers(
             EventHandler<PointerEventArgs> handler,
             params IInputElement[] controls)
         {
             foreach (var c in controls)
             {
-                c.PointerEnter += handler;
+                c.PointerEntered += handler;
-                c.PointerLeave += handler;
+                c.PointerExited += handler;
                 c.PointerMoved += handler;
             }
         }

tests/Avalonia.Base.UnitTests/Input/TouchDeviceTests.cs

@@ -219,30 +219,36 @@ namespace Avalonia.Input.UnitTests
         {
             for (int i = 0; i < touchPointIds.Length; i++)
             {
-                inputManager.ProcessInput(new RawTouchEventArgs(device, 0,
+                inputManager.ProcessInput(new RawPointerEventArgs(device, 0,
                                                               root,
                                                               type,
                                                               new Point(0, 0),
-                                                              RawInputModifiers.None,
+                                                              RawInputModifiers.None)
-                                                              touchPointIds[i]));
+                {
+                    RawPointerId = touchPointIds[i]
+                });
             }
         }
 
 
         private static void TapOnce(IInputManager inputManager, TouchDevice device, IInputRoot root, ulong timestamp = 0, long touchPointId = 0)
         {
-            inputManager.ProcessInput(new RawTouchEventArgs(device, timestamp,
+            inputManager.ProcessInput(new RawPointerEventArgs(device, timestamp,
                                                root,
                                                RawPointerEventType.TouchBegin,
                                                new Point(0, 0),
-                                               RawInputModifiers.None,
+                                               RawInputModifiers.None)
-                                               touchPointId));
+            {
-            inputManager.ProcessInput(new RawTouchEventArgs(device, timestamp,
+                RawPointerId = touchPointId
+            });
+            inputManager.ProcessInput(new RawPointerEventArgs(device, timestamp,
                                                 root,
                                                 RawPointerEventType.TouchEnd,
                                                 new Point(0, 0),
-                                                RawInputModifiers.None,
+                                                RawInputModifiers.None)
-                                                touchPointId));
+            {
+                RawPointerId = touchPointId
+            });
         }
     }
 }

tests/Avalonia.Base.UnitTests/Layout/LayoutableTests.cs

@@ -173,37 +173,6 @@ namespace Avalonia.Base.UnitTests.Layout
             target.Verify(x => x.InvalidateMeasure(root), Times.Once());
         }
 
-        [Theory]
-        [InlineData(16, 6, 5.333333333333333)]
-        [InlineData(18, 10, 4)]
-        public void UseLayoutRounding_Arranges_Center_Alignment_Correctly_With_Fractional_Scaling(
-            double containerWidth,
-            double childWidth,
-            double expectedX)
-        {
-            Border target;
-            var root = new TestRoot
-            {
-                LayoutScaling = 1.5,
-                UseLayoutRounding = true,
-                Child = new Decorator
-                {
-                    Width = containerWidth,
-                    Height = 100,
-                    Child = target = new Border
-                    {
-                        Width = childWidth,
-                        HorizontalAlignment = HorizontalAlignment.Center,
-                    }
-                }
-            };
-
-            root.Measure(new Size(100, 100));
-            root.Arrange(new Rect(target.DesiredSize));
-
-            Assert.Equal(new Rect(expectedX, 0, childWidth, 100), target.Bounds);
-        }
-
         [Fact]
         public void LayoutUpdated_Is_Called_At_End_Of_Layout_Pass()
         {

tests/Avalonia.Base.UnitTests/Layout/LayoutableTests_LayoutRounding.cs

@@ -0,0 +1,140 @@
+using Avalonia.Controls;
+using Avalonia.Layout;
+using Avalonia.UnitTests;
+using Xunit;
+using Xunit.Sdk;
+
+namespace Avalonia.Base.UnitTests.Layout
+{
+    public class LayoutableTests_LayoutRounding
+    {
+        [Theory]
+        [InlineData(100, 100)]
+        [InlineData(101, 101.33333333333333)]
+        [InlineData(103, 103.33333333333333)]
+        public void Measure_Adjusts_DesiredSize_Upwards_When_Constraint_Allows(double desiredSize, double expectedSize)
+        {
+            var target = new TestLayoutable(new Size(desiredSize, desiredSize));
+            var root = CreateRoot(1.5, target);
+
+            root.LayoutManager.ExecuteInitialLayoutPass();
+
+            Assert.Equal(new Size(expectedSize, expectedSize), target.DesiredSize);
+        }
+
+        [Fact]
+        public void Measure_Constrains_Adjusted_DesiredSize_To_Constraint()
+        {
+            var target = new TestLayoutable(new Size(101, 101));
+            var root = CreateRoot(1.5, target, constraint: new Size(101, 101));
+
+            root.LayoutManager.ExecuteInitialLayoutPass();
+
+            // Desired width/height with layout rounding is 101.3333 but constraint is 101,101 so
+            // layout rounding should be ignored.
+            Assert.Equal(new Size(101, 101), target.DesiredSize);
+        }
+
+        [Fact]
+        public void Measure_Adjusts_DesiredSize_Upwards_When_Margin_Present()
+        {
+            var target = new TestLayoutable(new Size(101, 101), margin: 1);
+            var root = CreateRoot(1.5, target);
+
+            root.LayoutManager.ExecuteInitialLayoutPass();
+
+            // - 1 pixel margin is rounded up to 1.3333; for both sides it is 2.6666
+            // - Size of 101 gets rounded up to 101.3333
+            // - Final size = 101.3333 + 2.6666 = 104
+            AssertEqual(new Size(104, 104), target.DesiredSize);
+        }
+
+        [Fact]
+        public void Arrange_Adjusts_Bounds_Upwards_With_Margin()
+        {
+            var target = new TestLayoutable(new Size(101, 101), margin: 1);
+            var root = CreateRoot(1.5, target);
+
+            root.LayoutManager.ExecuteInitialLayoutPass();
+
+            // - 1 pixel margin is rounded up to 1.3333
+            // - Size of 101 gets rounded up to 101.3333
+            AssertEqual(new Point(1.3333333333333333, 1.3333333333333333), target.Bounds.Position);
+            AssertEqual(new Size(101.33333333333333, 101.33333333333333), target.Bounds.Size);
+        }
+
+        [Theory]
+        [InlineData(16, 6, 5.333333333333333)]
+        [InlineData(18, 10, 4)]
+        public void Arranges_Center_Alignment_Correctly_With_Fractional_Scaling(
+            double containerWidth,
+            double childWidth,
+            double expectedX)
+        {
+            Border target;
+            var root = new TestRoot
+            {
+                LayoutScaling = 1.5,
+                UseLayoutRounding = true,
+                Child = new Decorator
+                {
+                    Width = containerWidth,
+                    Height = 100,
+                    Child = target = new Border
+                    {
+                        Width = childWidth,
+                        HorizontalAlignment = HorizontalAlignment.Center,
+                    }
+                }
+            };
+
+            root.Measure(new Size(100, 100));
+            root.Arrange(new Rect(target.DesiredSize));
+
+            Assert.Equal(new Rect(expectedX, 0, childWidth, 100), target.Bounds);
+        }
+
+        private static TestRoot CreateRoot(
+            double scaling,
+            Control child,
+            Size? constraint = null)
+        {
+            return new TestRoot
+            {
+                LayoutScaling = scaling,
+                UseLayoutRounding = true,
+                Child = child,
+                ClientSize = constraint ?? new Size(1000, 1000),
+            };
+        }
+
+        private static void AssertEqual(Point expected, Point actual)
+        {
+            if (!expected.NearlyEquals(actual))
+            {
+                throw new EqualException(expected, actual);
+            }
+        }
+
+        private static void AssertEqual(Size expected, Size actual)
+        {
+            if (!expected.NearlyEquals(actual))
+            {
+                throw new EqualException(expected, actual);
+            }
+        }
+
+        private class TestLayoutable : Control
+        {
+            private Size _desiredSize;
+
+            public TestLayoutable(Size desiredSize, double margin = 0)
+            {
+                _desiredSize = desiredSize;
+                Margin = new Thickness(margin);
+            }
+
+            protected override Size MeasureOverride(Size availableSize) => _desiredSize;
+        }
+    }
+}

tests/Avalonia.Base.UnitTests/Media/TextFormatting/BiDiAlgorithmTests.cs

@@ -27,7 +27,7 @@ namespace Avalonia.Visuals.UnitTests.Media.TextFormatting
         
         private bool Run(BiDiTestData testData)
         {
-            var bidi = BidiAlgorithm.Instance.Value;
+            var bidi = new BidiAlgorithm();
             
             // Run the algorithm...
             ArraySlice<sbyte> resultLevels;

tests/Avalonia.Base.UnitTests/Media/TextFormatting/BiDiClassTests.cs

@@ -30,7 +30,7 @@ namespace Avalonia.Visuals.UnitTests.Media.TextFormatting
 
         private bool Run(BiDiClassData t)
         {
-            var bidi = BidiAlgorithm.Instance.Value;
+            var bidi = new BidiAlgorithm();
             var bidiData = new BidiData(t.ParagraphLevel);
         
             var text = Encoding.UTF32.GetString(MemoryMarshal.Cast<int, byte>(t.CodePoints).ToArray());
@@ -39,9 +39,12 @@ namespace Avalonia.Visuals.UnitTests.Media.TextFormatting
             bidiData.Append(text.AsMemory());
 
             // Act
-            bidi.Process(bidiData);
+            for (int i = 0; i < 10; i++)
+            {
+                bidi.Process(bidiData);
+            }
 
-                var resultLevels = bidi.ResolvedLevels;
+            var resultLevels = bidi.ResolvedLevels;
             var resultParagraphLevel = bidi.ResolvedParagraphEmbeddingLevel;
 
             // Assert