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Omni-MATH / Alice starts with the number 0. She can apply 100 operations on her number. In…

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Alice starts with the number 0. She can apply 100 operations on her number. In each operation, she can either add 1 to her number, or square her number. After applying all operations, her score is the minimum distance from her number to any perfect square. What is the maximum score she can attain?

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