Cursed cabin in the snow

A small cabin nestled in the snow. Upon entering you notice it is clean and ready for use. A letter on the table offers the cabin to travelers for the night to keep out of the cold. When you enter a snow storm begins. There is a wood stove with enough wood for three days with a small fire, one and a half if fire is used for cooking. As long as your players stay in the cabin the storm will not end. Exiting the cabin will deal cold damage at a incredible rate and it is considered as difficult terrain. Once you have used up all your fire wood the cabin will begin to freeze and you will no longer be able to have the benifits of a long or short rest. If you leave the cabin you are blinded and deafened by the storm. You can not see out of the cabin because if this storm. If you manage to move ten feet from the door of the cabin the storm ends for you and you can see the building behind you but any one else inside can not see or hear you.