I heard that Python is easy and powerful, but I don’t know if I’m on the right track to learn it. I learn from online tutorials, I know basic maths calculation and printing strings, but how long will it take to develop something useful? I don’t really know the exact uses of Python, though.
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I’m not exactly sure what you’re looking for, but I think one or more of the following may be the next step you’re looking for.
Perhaps you would like to use a variety of different protocols for a networking program, you could check out Twisted.
Or perhaps if you would like to make a web application or blog you can check out Django.
Or perhaps you would like to make a GUI application, you could take a look at TkInter.
Or perhaps you would like to get into game programming, you could take a look at Pygame.
Or perhaps you would like to … you can take a look at the Python Package Index.
How long will it take? This depends on your programming background in general. The best way is simply to jump into the topic you’re interested in and start on a mini project.