Entropy will mess that all up. While the ice could lower the temp. barely, eventually the ice will melt, causing higher sea levels. Plus, think of it as percentages. In school if you get something lower than a hundred, your average grade will never be exactly %100 percent ever again until it's reset (but you can't reset the temperature). So then, once its water, you cant change it back. If then you take the water and put it in your freezer, the freezer outputs heat through its back, causing equal yet opposite heat. Entropy is inevitable, so there isn't much of a solution.
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