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BEBRAS 2017 Grade 9-10 Round 2 Ext Question 7

BEBRAS · BEBRAS 2017 Grade 9-10 Round 2 Ext

Question 7

Alonzo's computer uses prefix expressions: (max x₁ … xₙ) returns the greatest input; (min x₁ … xₙ) the least; (+ x₁ … xₙ) their sum; (* x₁ … xₙ) their product. Inputs are real numbers and operations may nest. For example, (+ (* 2 3) (+ 1 2))=9. Evaluate:

(+ (max (min 3 9 2) (* (min 0 4) (max 0 4))) (min (max 3 6) (max 5 7 2)))
  1. 5
  2. 8
  3. 13
  4. 0