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prelim3From2003 - CS100J Prelim 3 18 November 2003 Uris...

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1 CS100J Prelim 3 18 November 2003 Uris Auditorium 7:30PM--9:00PM Name (PRINT LEGIBLY!)_____________________________ NetID________ (last, first) This exam has questions 0, 1, 2, 3, 4, 5 worth a total of 100 points. Question 0. 2 points. Write your name and netid, legibly, at the top of every page. Question 1. 18 points. Assume int array m is sorted (in ascending order). Write a while-loop (not a for-loop) with initialization to perform a binary search for a value x in m. The postcondition of the loop should be ONE of the following. (You choose which one. The first was used in class; the second, which uses virtual values m[-1] and m[m.length], is used in the text.) R0: m[0. .k] <= x < m[k+1. .m.length–1] R1: m[k] <= x < m[k+1] (assuming m[– 1] = – , m[m.length] = ) You must state the invariant, because you are supposed to develop the loop using it. The invariant and the Java code should be essentially what we did in class or as done in the text. We do not want a complete method, but just the sequence of statements to truthify the postcondition.
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2 Name (PRINT LEGIBLY!)_____________________________ NetID________ Question 2. 20 points. Consider two sorted (in ascending order) int arrays b and c. We want to merge these arrays into a single sorted array d. For example, given b = {1, 3, 3, 8} and c = {2, 3, 4, 4, 7}, d is {1, 2, 3, 3, 3, 4, 4, 7, 8} Assume these variables are already declared and that the length of d is the sum of the lengths of b and c. Note that an array can have length 0. Write a single while-loop (with initialization) to merge b and c into d. The precondition is that arrays b and c are sorted. The postcondition R is: The invariant that you are to use consists of the following three pieces: Write only one loop. Don’t change the invariant, and don’t add extra variables; use only b, c, d, h, and k. Arrays b and c should not be changed.Your answer depends entirely on how well you deal with the four
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