for the rest of the array we will rely on the previous entries to compute new ones
for N in range ( 1 , 21 ) : NEW_LINE INDENT print ( " Maximum ▁ Number ▁ of ▁ A ' s ▁ with ▁ " , N , " ▁ keystrokes ▁ is ▁ " , findoptimal ( N ) ) NEW_LINE DEDENT