Find a Profile-most Probable k-mer in a String solved by 1295

Given a profile matrix Profile, we can evaluate the probability of every k-mer in a string Text and find a Profile-most probable k-mer in Text, i.e., a k-mer that was most likely to have been generated by Profile among all k-mers in Text. For example, ACGGGGATTACC is the Profile-most probable 12-mer in GGTACGGGGATTACCT. Indeed, every other 12-mer in this string has probability 0.

In general, if there are multiple Profile-most probable k-mers in Text, then we select the first such k-mer occurring in Text.

Profile-most Probable k-mer Problem

Find a Profile-most probable k-mer in a string.

Given: A string Text, an integer k, and a 4 × k matrix Profile.

Return: A Profile-most probable k-mer in Text. (If multiple answers exist, you may return any one.)

Sample Dataset

ACCTGTTTATTGCCTAAGTTCCGAACAAACCCAATATAGCCCGAGGGCCT
5
0.2 0.2 0.3 0.2 0.3
0.4 0.3 0.1 0.5 0.1
0.3 0.3 0.5 0.2 0.4
0.1 0.2 0.1 0.1 0.2

Sample Output

CCGAG

Extra Datasets

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