Question 15
Alonzo's computer uses two operations. R reduces a list with an operation: (R f (x₁ … xₙ)) gives x₁ f x₂ f … f xₙ; for example (R + 1 2 3 4)=10. M maps an operation over a list: (M f (x₁ … xₙ)) gives ((f x₁) … (f xₙ)); for example (M − 1 2 3 4)=(−1 −2 −3 −4). Any operation may be used. If T(x)=3x+2, then (M T 1 2 3)=(5 8 11). Given T(x)=3x+2 and Q(x)=−x, evaluate the printed expression:
(R + (R + (M T 0 2 4) (R + (M Q (M T 3 5)))
Editorial convention: the source's parentheses are unbalanced. For the conditional answer, interpret the intended two sums as (R + (R + (M T 0 2 4)) (R + (M Q (M T 3 5)))). This correction is disclosed rather than claimed to be confirmed source intent.
(R + (R + (M T 0 2 4) (R + (M Q (M T 3 5)))
Editorial convention: the source's parentheses are unbalanced. For the conditional answer, interpret the intended two sums as (R + (R + (M T 0 2 4)) (R + (M Q (M T 3 5)))). This correction is disclosed rather than claimed to be confirmed source intent.