Gridsplitter prevents grid columns to be resized - wpf

Question

I'm trying to hide first 2 columns of a Grid when a Button is clicked. My Grid layout has 3 columns, one with a grid, the second with a grid splitter and the third one with another Grid which has the Button.
When I run my program with the below code, it collapses the first 2 columns on click of the Button properly as expected and resizes the third grid, however the moment I resize the grid using the splitter, this does not work anymore. It hides the columns, however the third column is not resized to fill the Window. I want the first 2 columns to be collapsed and the third column to fill the whole area of the window(which happens if I do not resize using the splitter).
The xaml is as below:
<Grid>
<ColumnDefinition Width="Auto" x:Name="column1"/>
<ColumnDefinition Width="Auto" x:Name="column2"/>
<ColumnDefinition Width="*"/>
</Grid.ColumnDefinitions>
<Grid Grid.Column="0" x:Name="left" MinWidth="100">
<Border Background="Red" Margin="5"/>
<TextBlock Text="A Brown fox jumped oversomething" Width="{Binding ActualWidth, ElementName=TreeView}" Margin="5"></TextBlock>
</Grid>
<GridSplitter x:Name="splitter"
Width="5"
Grid.Column="1"
HorizontalAlignment="Left"
Margin="0,5,0,5"
Panel.ZIndex="1"
VerticalAlignment="Stretch"
ResizeDirection="Columns"/>
<Grid Grid.Column="2">
<Grid Grid.Column="0" Grid.Row="0">
<Grid.RowDefinitions>
<RowDefinition Height="*"></RowDefinition>
<RowDefinition Height="20"></RowDefinition>
</Grid.RowDefinitions>
<Border Grid.Row="0" Background="Green" Margin="5"/>
<Button Grid.Row="1" Click="OnClick">HideAndResize</Button>
</Grid>
</Grid>
</Grid>
and the Button.click event is handled as below:
private bool clicked;
private void OnClick(object sender, RoutedEventArgs e)
{
clicked = !clicked;
left.Visibility = clicked ? Visibility.Collapsed : Visibility.Visible;
splitter.Visibility = clicked ? Visibility.Collapsed : Visibility.Visible;
}

Answer 1

Seems like the Column isnt autosizing correctly, so its still not 0, even if it's childs Visibility is set to Collapsed.
A quick and dirty solution would be:
private bool clicked;
private double oldLenght;
private void OnClick(object sender, RoutedEventArgs e)
{
clicked = !clicked;
splitter.Visibility = clicked ? Visibility.Collapsed : Visibility.Visible;
left.Visibility = clicked ? Visibility.Collapsed : Visibility.Visible;
oldLenght = clicked ? column1.ActualWidth : oldLenght;
column1.Width = clicked ? new GridLength(0.0) : new GridLength(oldLenght);
}