how to run the screen program WITHOUT clearing the display

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http://www.linuxquestions.org – I have a script which runs a few programs where the output scrolls up in the normal text way. There is one program the script runs I have a reason to run it inside screen. But I would like this program's output to just work like the others, and be output at the bottom of the display and scroll up like everything else. It will eventually finish in a few seconds, in which case it will exit, and screen should exit, and the script will go on to the next program as usual. But screen clears the display because screen wants to manage it all. Any idea how to disable this? (HowTos)