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We show that the number of all maximal $\alpha$-gapped repeats andpalindromes of a word of length $n$ is at most $3(\pi^2/6 + 5/2) \alpha n$ and$7 (\pi^2 / 6 + 1/2) \alpha n - 5 n - 1$, respectively.

Improved Upper Bounds on all Maximal $\alpha$-gapped Repeats and Palindromes