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A palindrome is a sequence that is identical whether read backwards or forwards. For instance, the...

A palindrome is a sequence that is identical whether read backwards or forwards. For instance, the numbers 121 and 1331 are palindromes. Let n be a positive integer. How many n-digit numbers (that, is, numbers between 10n-1 and 10n -1=99...9, inclusive) are palindromes?

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