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Whats the simplest way to determine the screen resolution?

Hello, im building a project who will be compiled to be executed in more than one machine (in fact, in a educational lab).

So, i having trouble with images with the resolution bigger than the screen resolution (in fact 5184 x 3456), i can't show it, so i know i'll need to use the pyramids concept, to show a image who''ll fit the "size" of the screen.

To do that, i'll realize that i'll need to resize the image according to each screen size rather than a fixed one. This way i can do the positioning of the image realtive to the screen in a standart way.

So, whats the best way to do that?

(i'm a brasilian student, apologize for my primitive english)