Calculate the dynamic programming matrix and the optimal local and global alignment for the DNA sequences
a: GAATTC and b: GATTA,
scoring +2 for a match,
-1 for a mismatch,
and using a linear gap penalty function W(L) = -2L
Algorithm 3: Longest common substring.
LCS(x, y)
(1) Initialization:
(2) D(0, 0) = 0.
(3) for i = 1 to M
(4) D(i, 0) = 0.
(5) for j = 1 to N
(6) D(0, j) = 0.
(7) Recursion:
(8) for i = 1 to M
(9) for j = 1 to N
(10) if xi = yj
(11) D(i, j) ← D(i − 1, j − 1) + 1
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