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1- Find the time complexity of the following program, where n is given as input: i = n; while (i > 1) { j =

1- Find the time complexity of the following program, where n is given as input:

i = n; while (i > 1) { j = i; while (j < n) { k = 0; while (k < n) { k += 2; } j *= 2; } i /= 2; }

Express your answer using theta notation, and explain the amount of time it takes for each loop to finish.

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