# Fibonnaci Palindrome

Computer Science Level 4

Consider concatenating the first $$n$$ Fibonacci integers into a continuous integer. For example, for $$n=7$$ the string would be $F_7 = 11235813$ Let $$S$$ be the smallest palindrome greater than $$F_{100}$$. What are the last three digits of the sum of the digits of $$S$$.

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