Using Perl, Python, or Ruby, can I write a program, probably calling Win32 API, to \"click\" on the screen at scheduled time, like every 1 hour?
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If using a different tool is allowed, you should take a look at AutoHotkey or AutoIt. These tools were made for this sort of thing, and I've always been keen on using the right tools for the right jobs.
AutoHotkey is based on AutoIt I believe, and it is my personal preference. You only really need 2 functions for what you're trying to achieve, MouseMove and MouseClick.