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Feature #7: Detecting a Protein

Explore how to determine if any permutation of a nucleotide sequence is a protein palindrome by counting nucleotide occurrences. Understand the logic behind palindrome formation in DNA sequences and implement an efficient solution using dictionaries for tracking occurrences, optimizing both time and space complexities.

Description

Proteins are characterized by long palindrome sequences of nucleotides, where a character represents each nucleotide. We have received a sample that may be a protein. However, the nucleotides in this sample may have been rearranged due to a mutation.

Given a sequence of nucleotides, our task is to check if any permutationOrdering of a set of items; in this case, the sequences of nucleotides. of the given sequence is a protein, that is, a palindromeA word spelled the same way forwards as backward.. We should return true if it is a protein, and return false if it is not a protein.

The following examples may help to clarify this problem:

Solution

If some permutation of a sequence with an even length is a palindrome, every nucleotide in the sequence must appear an even number of times. Similarly, if a permutation of a sequence with an _odd length _is a palindrome, every nucleotide, except one, must appear an even number of times. So, in the case of a sequence being a palindrome and when there is a sequence of an odd length, the number of nucleotides with an odd number of occurrences cannot exceed 1. Similarly, in ...