Mapping square objects to specific cells in a TableLayoutPanel in WindowsForms game

I have solved this problem but I am looking for a better way to do it, in fewer lines of code.

The problem was from this previous question on Stack Overflow.

My solution:

/// 
        /// For a given square number, tells you the corresponding row and column numbers.
        /// Pre:  none.
        /// Post: returns the row and column numbers, via "out" parameters.
        /// 
        /// The input square number.
        /// The output row number.
        /// The output column number.
        private static void MapSquareNumToScreenRowAndColumn(int squareNumber, out int rowNumber, out int columnNumber){

        // ######################## Add more code to this method and replace the next two lines by something more sensible.  ###############################
        rowNumber = 0; // Use 0 to make the compiler happy for now.
        columnNumber = 0; // Use 0 to make the compiler happy for now.

        columnNumber = squareNumber % 6;
        rowNumber = squareNumber/6;

        //switch statement for assigning column values to odd rows
        int remainder = squareNumber%6;
        switch (remainder){
            case 0:
                columnNumber = 5;
                break;
            case 1:
                columnNumber = 4;
                break;
            case 2:
                columnNumber = 3;
                break;
            case 3:
                columnNumber = 2;
                break;
            case 4:
                columnNumber = 1;
                break;
            case 5:
                columnNumber = 0;
                break;

        }

        if (squareNumber >=0 && squareNumber =6 && squareNumber =12 && squareNumber =18 && squareNumber = 24 && squareNumber = 30 && squareNumber = 36 && squareNumber <= 41){
            rowNumber = 0;
            columnNumber = squareNumber % 6;
        }

    }//end MapSquareNumToScreenRowAndColumn

I'm fairly new to programming, so I just wanted a second opinion on it. Is there a way fo

The problem of your code is that you use separate conditions for each particular row and for each particular column.

But it can be easily aggregated into one - check if the row number is odd. A rest of the desired functionality can be reached using arithmetics.

Please try this code:

private static void MapSquareNumToScreenRowAndColumn(int squareNumber, out int rowNumber, out int columnNumber)
{
    const int Rows = 7;
    const int Cols = 6;

    // Calculate the rowNumber and the columnNumber at once.
    // See Math.DivRem for details: http://msdn.microsoft.com/en-us/library/yda5c8dx(v=vs.110).aspx
    rowNumber = Rows - 1 - Math.DivRem(squareNumber, Cols, out columnNumber);

    // If the rowNumber is odd:
    if ((rowNumber & 1) != 0)  // (rowNumber & 1) is the same as (rowNumber % 2)
        columnNumber = Cols - 1 - columnNumber;  // Invert the columnNumber
}

StackExchange Code Review Q#67092, answer score: 6