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You may be able to use absolute positioning.
The container box should be set to position: relative.
The top-right text should be set to position: absolute; top: 0; right: 0.
The bottom-right text should be set to position: absolute; bottom: 0; right: 0.
You'll need to experiment with padding to stop the main contents of the box from running underneath the absolute positioned elements, as they exist outside the normal flow of the text contents.