Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Hello. Please answer the attached Algorithms question and its two parts correctly and completely.

*If you answer the questions correctly and completely, I will give you a thumbs up. Thanks.

[画像:Part A: The Fixed Point Problem is: Given a sorted array of distinct elements A[1 ..... n), determine whether there exists some į such that A[i] = i. Consider the following recursive algorithm (and assume that the function returns nothing if the array A is empty): function f(A[1...n]): m = []; if A[m] = m return m; if A[m] > m return f(A[1...m-1]); if A[m] <m return f(A[m +1...n]); Does this algorithm work? If so, why? If not, why not? O No. There is no base case. O No. It is impossible for A[m] > m so the algorithm always misses half the list. O Yes. If A[m] > m, then it is impossible to have A[i] = for any i > m (and the same for the other case). O No. It is impossible for A[m] < m so the algorithm always misses half the list. Part B: Independent of whether it produces the correct answer, what is the running time of the Fixed Point algorithm in terms of n? しろまる 0 (√n) しろまる O(n) (n log n) しろまる (log n) * Please answer both parts correctly, and I will provide a thumbs up. Thanks.]
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Transcribed Image Text:Part A: The Fixed Point Problem is: Given a sorted array of distinct elements A[1 ..... n), determine whether there exists some į such that A[i] = i. Consider the following recursive algorithm (and assume that the function returns nothing if the array A is empty): function f(A[1...n]): m = []; if A[m] = m return m; if A[m] > m return f(A[1...m-1]); if A[m] <m return f(A[m +1...n]); Does this algorithm work? If so, why? If not, why not? O No. There is no base case. O No. It is impossible for A[m] > m so the algorithm always misses half the list. O Yes. If A[m] > m, then it is impossible to have A[i] = for any i > m (and the same for the other case). O No. It is impossible for A[m] < m so the algorithm always misses half the list. Part B: Independent of whether it produces the correct answer, what is the running time of the Fixed Point algorithm in terms of n? しろまる 0 (√n) しろまる O(n) (n log n) しろまる (log n) * Please answer both parts correctly, and I will provide a thumbs up. Thanks.
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