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Interesting take on the theme! I had trouble figuring out when my hits were actually connecting with the zombie because I couldn't always pay attention to the health meters. Also, it would help if we kinda started off slow so players like me could get a hang of the mechanics before zombies started showing up in multiples. I am not sure if I would ever manage to chop the tree and defeat zombies at the same time. So, is this game supposed to be unwinnable? 

(+1)

There's definitely room for improvement on the game balance, but it is winnable. If you hold the mouse button to keep chopping and attack enemies at the same time, focusing on taking down the tree, you'll make it.