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Questions (15 points): For each of the following problems, propose the key action/operation you would use to determine the time complexity ( short answers are
Questions (15 points):
- For each of the following problems, propose the key action/operation you would use to determine the time complexity (short answers are fine here). What is the smallest time complexity of an efficient algorithm solving that problem.
- (3 points) Consider an nn matrice B(bij) where i and j vary from 1 to n . The problem is to compute the trace of Matrix B 1nbii i.e., adding the elements of the matrix diagonal.
Key action/operation is .......
smallest time complexity is ...........
- (3 points) Consider a sequence A containing n real numbers. The problem is to find the number of occurrences of a real b in Sequence A.
Key action/operation is .......
smallest time complexity is ...........
- (3 points) Given an integer n , and real numbers a and x compute i=0naxi
Key action/operation is .......
smallest time complexity is ..........
- (3 points) Given an integer n , compute i=1ni (Product on the n first integers)
Key action/operation is .......
smallest time complexity is ..........
- Given an integer n , convert and display n in base 11.
Key action/operation is .......
smallest time complexity is ..........
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