After the success of your latest research project in mythical DNA, you have gained the attention…

After the success of your latest research project in mythical DNA, you have
gained the attention of a most diabolical creature: Medusa. Medusa has
snakes instead of hair. Each of her snakes’ DNA is represented by an uppercase string of letters. Each letter is one of S, N, A, K or E. Your extensive
research shows that a snake’s venom level depends on its DNA. A snake has
venom level x if its DNA:
• has exactly 5x letters
• begins with x copies of the letter S
• then has x copies of the letter N
• then has x copies of the letter A
• then has x copies of the letter K
• ends with x copies of the letter E.
For example, a snake with venom level 1 has DNA SNAKE, while a snake
that has venom level 3 has DNA SSSNNNAAAKKKEEE. If a snake’s DNA
does not fit the format described above, it has a venom level of 0. Medusa
would like your help making her snakes venomous, by deleting zero or more
letters from their DNA. Given a snake’s DNA, can you work out the maximum venom level this snake could have? Your algorithm should run in time
O(n log n)
Hint: Combine binary search with greedy.

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