Can you beat DEAD ISLAND with only FURY?!

Can you beat DEAD ISLAND with only FURY?!
As i sat there stroking my beard and other body parts i pondered whether this challenge was possible. I've never really went out of my way to use fury in my casual playthroughs of this game because i found that using standard weapons was more fun, so i wasn't too knowledgeable on Fury as i should have been. But i welcomed the challenge as i do any other and hated every second of it (not really tho, only a little). I guess i'll have to do the same challenge in the future for Dead Island Riptide.

Challenge Rules:
- I can only defeat enemies using Fury. Melee weapons, guns, kicking, driving over enemies in vehicles, and every other form of un-aliveing isn't allowed
- I CAN use healing items (for some reason people cry when i use medkits)

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