MathDB

The venusian prophet Zabruberson sent to his pupils a

10000

-letter word, each letter being

A

E

: the Zabrubic word. Their pupils consider then that for

1 \leq k \leq 10000

, each word comprised of

k

consecutive letters of the Zabrubic word is a prophetic word of length

k

. It is known that there are at most

7

prophetic words of lenght

3

. Find the maximum number of prophetic words of length

10

Problem Statement