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One last question. Is there any controller support for this game?
This question / problem has been solved by SamMagelimage
It's a platformer game. Its much better to play it on keyboard.

Although there are no instructions for controller support or not.
I made my controller work (Xbox One controller) on Linux by substituting the sdl libraries in VVVVVV/game/x86_64 with these: https://github.com/OutOfOrder/SDL2-Binaries/archive/master.zip
It works just fine in Windows 10 with my Logitech F310 gamepad.