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change a button's coordinates in a grid with a button

game grid interface

I am doing a 15 puzzle game on wpf and xaml where you need to move the empty tile in a grid to solve the puzzle. (see the linked image for context) I want to know how I can go about changing a button's coordinates when switching it with the coordinates of the empty tile using the up,down,left,right buttons. Here below you have an example of the coordinates i am talking about, .row and.column.

        <Button x:Name="Button10" Grid.Column="1" Grid.Row="0" Content="3"/>```

You can change the Row or Column of your Buttons like this.

// Move up Button5 example
private void ButtonUp_Click(object sender, RoutedEventArgs e)
{
    // Get the current Row
    int currentRow = Grid.GetRow(Button5);

    // Calculate the next Row
    int nextRow = Math.Min(Math.Max(currentRow - 1, 0), 3);

    // Change the Row
    Grid.SetRow(Button5, nextRow);
}

// Move left Button5 example
private void ButtonLeft_Click(object sender, RoutedEventArgs e)
{
    // Get the current Column
    int currentColumn = Grid.GetColumn(Button5);

    // Calculate the next Column
    int nextColumn = Math.Min(Math.Max(currentColumn - 1, 0), 3);

    // Change the Column
    Grid.SetColumn(Button5, nextColumn);
}

You can obtain the position of an element by calling it as part of the Grid.GetRow or Grid.GetColumn methods.

int row = Grid.GetRow(button1);
int column = Grid.GetColumn(button1);

It might be best to create an object type for this so you can keep track of many buttons and what their positions were even after they moved.

    public class position
    {
        private int row;
        private int column;
        public position(int row, int column)
        {
            this.Row = row;
            this.Column = column;
        }

        public int Row
        {
            get => row;
            set => row = value;
        }
        public int Column
        {
            get => column;
            set => column = value;
        }
    }

and then you can mark the current position of multiple grid items

position first_button = new position(Grid.GetRow(button1), Grid.GetColumn(button1));
position second_button = new position(Grid.GetRow(button2), Grid.GetColumn(button2));

and from there you can call these objects to move grid elements

Grid.SetColumn(button2, first_button.Column);
Grid.SetRow(button2, first_button.Row);

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