lispp31 - Programming Project#3 Fall 2011 CMSC 420 Hanan...

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Fall 2011 Programming Project #3 CMSC 420 Hanan Samet Program the following 11 functions in LISP. Make sure you test them thoroughly. Pay particular attention to the efficiency of your solutions. Test data will be mailed to you. Turn in a run that includes both a pretty printing of your functions and the execution of said functions on the test data. 1. Ordered lists of numbers (with duplicates): (a) Write a function mergelists[x, y] which takes two ordered lists x and y , and makes one ordered list from them, for example, mergelists[’(2 3 4), ’(1 4)] = (1 2 3 4 4) . Your algorithm should run in time proportional to the number of elements in the two lists. (b) Using mergelists , write a function sortlist[l] which takes an unordered list l and makes an ordered list of it, for example, sortlist[’(1 7 3 5 3)] = (1 3 3 5 7) . For an initial list of n elements, your algorithm should run in O ( n log n ) time and not O ( n 2 ) time. (c) Write a predicate dup[l] which indicates if any atom occurs more than once in an unordered list l , for example,
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