Question: Consider the change making problem with denominations d 1 = 1 , d 2 = 4 , d 3 = 7 and its dynamic programming

Consider the change making problem with denominations d1=1, d2=4, d3=7 and its dynamic programming solution. Let F(n) be the minimum number of coins whose values add up to n. How do you find F(20)?
Question 2 options:
F(20)= F(19)+1
F(20)= min { F(18)+2, F(19)+1}
F(20)= min { F(13), F(16), F(19)}+1
F(20)=2 F(7)+ F(4)+2F(1)

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