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E2.5 Computing time complexity (18 points). The time complexity of a program is the number steps or operations required for the program to execute. For

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E2.5 Computing time complexity (18 points). The time complexity of a program is the number steps or operations required for the program to execute. For the following brief programs, determine the order of their time complexity as a function of n, i.e., how the number of required operations scales with n. The order of the time complexity should be given in "big O" notation, that is, for example, O(1), O(log n), O(n), O(n log n), O(n2), O(n"), etc. Hint: Count each addition, multiplication or division as having unit cost. (0) (3 points) (iv) (3 points) 2: for i from 1 to n: 2: for i from 1 to n: 3: 3: for j from 1 ton: (ii) (3 points) (v) (3 points) 2: for i from 1 to 10 3: 2: for i from 1 to n a=a+1 for j from i to : iii) (3 points 4 2: for i from 1 to n: (vi) (3 points) 4: for j from 1 to n: 2: while a>1: a-a+ 1 3

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