Central New Mexico Community College and The University of New Mexico

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Page 1 of 5 Central New Mexico Community College and The University of New Mexico CNM /Associate of Arts Degree in Pre-Management and UNM Bachelor of Business Administration Degree Transfer Agreement February 2008 Students completing the Associate of Arts Degree in Pre-Management at Central New Mexico Community College can apply those credits and courses directly toward the Bachelor of Business Administration Degree at the University of New Mexico. CNM Associate of Arts Degree in Pre-Management (Associate of Arts Degree = 61 – 63 credit hours) UNM Bachelor of Business Administration Degree (128 credit hours) CNM Course Number (previous course number) UNM Course Number Oral and Written Communication
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Selected Solutions for Chapter 15: Dynamic Programming
Solution to Exercise 15.2-5
Each time thel-loop executes, thei-loop executesnlC1times. Each time the i-loop executes, thek-loop executesjiDl1times, each time referencing mtwice. Thusthe total number of times that an entry ofmis referenced while P n computing other entries is.nlC1/.l1/2. Thus, lD2 n nn X XX R.i; j /D.nlC1/.l1/2 iD1 jDi lD2 n1 X D2 .nl /l lD1 n1 n1 X X 2 D2 nl2 l lD1 lD1 n.n1/n .n1/n.2n1/ D22 2 6 3 2 2n3nCn 3 2 Dnn3 3 nn D: 3
Solution to Exercise 15.3-1
Running RECURSIVE-MATRIX-CHAINis asymptotically more efficient than enu-merating all the ways of parenthesizing the product and computing the number of multiplications for each. Consider the treatment of subproblems by the two approaches. For each possible place to split the matrix chain, the enumeration approach finds all ways to parenthesize the left half, finds all ways to parenthesize the right half, and looks at all possible combinations of the left half with the right half. Theamount of work to look at each combination of left- and right-half
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