Question: Exercise 4. DYNAMIC PROGRAMMING: COUNTING CERTAIN DNA SEQUENCES. DNA strings use the alphabet A, C, G, T. Develop a dynamic programming algorithm for counting all

Exercise 4. DYNAMIC PROGRAMMING: COUNTING CERTAIN DNA SEQUENCES. DNA strings use

Exercise 4. DYNAMIC PROGRAMMING: COUNTING CERTAIN DNA SEQUENCES. DNA strings use the alphabet A, C, G, T. Develop a dynamic programming algorithm for counting all DNA strings with na, nc, ng, nt symbols of each kind, such that no two T's are adjacent and no two Gs are adjacent. Justify the recurrence at the root of your solution. State your RAM model complexity, and the amount of space used

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