No, you are not required to pay rent. The storm has resulted in a constructive eviction since the premises are no longer safe or inhabitable and there is no heat, hot water or electric. Send your landlord a letter stating that the premises are uninhabitable due to the storm and stating the extent of the damages and no power or heat. Document the damages with photos etc. and request to break the lease if you have one and a return of your security deposit if any. Then find a new place to live.
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