Nice little game, i liked the pixel art. but try zo be consistent and have one type of art everywhere (the menu could be pixel art too). The buggy movement is more frustrating than fun but i can see the time that went into making it feel buggy, and it does :D
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I hope you still enjoyed the game thought!
The random movement was added fairly quickly late into development as just extra topic related mechanics. All I did was have a 1 in 60 chance each frame that it will do a large increase in velocity in the players input direction. Repeat this for both the x and y axis and you get this random movement on average every second. I then fine tuned the ammount you move and chance that you will move so that it is just enough that it makes some difference to your game but not to much to be a 100% game of chance.