QWidget to map sectors of disc

For a open source project I need a QWidget for QT Framework that will show sectors of a disc and works like a progress bar. The Widget have to be placed inside a mdiChildWIndow and is scrollable. It is not possible to make a GridLayout and then fill it with Widgets, like QPushButton because the sectors can reach up to 128,001,769,472 sectors. So it is only possible to paint blocks on a QWidget base. Features: Fill columns. Fill according to Widget width. Rows as many as needed to reach the max. give Sectors. So Columns are a dynamic value that is recalculated with resize function. Scrollable. User must have the possibility to scroll according to the rows. Ensure Visisble: Adress a sector and the Widget will show this in its current view. Sectors can have different states / colours. Like green for ok, red for bad and also blue and a default color. The Widget have to look like a Defrag software we know from Windows. Like UltraDefrag. Please check attached image. Sectors / Tiles A Sector musst have a color, and a border. Fixed size, like 12/12 pixel. Development: QT with C++- No Python. Have to run on Linux, Mac, and Windows so you have to use the QT paint functions and not the Windows ones. I will test the Widget on a Mac. QTWidget have to take care about memory eating.