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  • 1) Explain which one you should choose Memoized-Cut-Rod() or Cut-Rod(). Defend your decision by explaining the comparative advantages. In other words, where does the time saving come from ? (5 points)
  • 2) What is the hidden cost when a recursive algorithm is implemented in a programming language ? (5 points)
  • 3) Explain when you would consider Dynamic Programming over Divide-and-Conquer approach for a problem. What would be the nature of the problem ? (3 points) Give a real-world problem where dynamic programming would be useful (2 points)
  • 4) Explain why we were able to use a) instead of b) (3 points) What is the main benefit doing so (2 points) ?
    a) max 1≥i≥n ( p[i] + r(n-i) )
    b) max 1≥i≥n ( r(i) + r(n-i) )
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