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When I was on the Mercury in '99 Alaska cruise Celebrity did provide blankets on deck for use. There was nothing that you had to sign to use them. I am assuming that they still provide those. I will know for sure in July when I cruise on the Summit.
They were available poolside on the Infinity June of 2003. We took a few back to our cabin for use on the verandah, cabin steward never removed them. They are nice, but not very large, take that in mind when grabbing a few. It's a beautiful cruise, enjoy!