C#

bool Solve(int i)
{
    if (i == numberOfConnectables + 1)
        return true;
    for each RoofSurface
        add Connectable[i] to the RoofSurface
        if (RoofSurface.Sum <= RoofSurface.Target)
        {
            if (Solve(i + 1))
                return true
        }
        remove Connectable[i] from the RoofSurface
    endfor
    return false
}

static class Solver
{
    static int[] RoofSurfaces, Connectables, Sums, AssignedTo;
    public static int[] Solve(int[] connectables, int[] roofSurfaces)
    {
        RoofSurfaces = roofSurfaces;
        Connectables = connectables;
        Sums = new int[roofSurfaces.Length];
        AssignedTo = new int[connectables.Length];
        for (int i = 0; i < AssignedTo.Length; i++)
            AssignedTo[i] = -1;
        if (solve(0))
            return AssignedTo;
        return null;
    }
    static bool solve(int i)
    {
        if (i == Connectables.Length)
            return true;
        for (int k = 0; k < Sums.Length; k++)
        {
            Sums[k] += Connectables[i];
            AssignedTo[i] = k;
            if (Sums[k] <= RoofSurfaces[k])
            {
                if (solve(i + 1))
                    return true;
            }
            Sums[k] -= Connectables[i];
            AssignedTo[i] = -1;
        }
        return false;
    }
}

/// <summary>
/// Adds an item to the DataSource of the ComboBox.
/// </summary>
/// <param name="box">A reference to the combobox.</param>
/// <param name="displaymember_value">The value wich should be displayed.</param>
/// <param name="valuemember_value">The value behind the displayed item.</param>
/// <returns>true if succesful otherwise, false.</returns>
public bool AddItemToComboDataSource(ref ComboBox box, string displaymember_value, string valuemember_value)
{
    bool succes = false;
    try
    {
        DataView view = (DataView)box.DataSource;
        DataRow row = view.Table.Rows[0];
        row[0] = displaymember_value;
        row[1] = valuemember_value;
        view.Table.Rows.Add(row);
        box.DataSource = view;
        succes = true;
    }                                               //end try
    catch (Exception ex)
    {
        errormsg = ex.Message;
    }                                               //end catch
    return succes;
}                                                   //end method AddItemToComboDataSource