240 for j 1 to n for kj to n z+z+j Consider the program We want...
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240 for j 1 to n for kj to n z+z+j Consider the program We want to calculate/estimate its running time as a function of n. As a measure of the running time, we shall use the number of additions. We shall thus consider T(n) where T(n) is the number of times the body of the inner loop is executed for a given n. Your task is to (you do not need to argue for your answers): 1. (4p) Express T(n) as a sum of the form j=1 2. (4p) Use your previous answer to give the exact value of T(n), expressed as a polynomial in n. 3. (4p) Find q such that T(n) (n"). 240 for j 1 to n for kj to n z+z+j Consider the program We want to calculate/estimate its running time as a function of n. As a measure of the running time, we shall use the number of additions. We shall thus consider T(n) where T(n) is the number of times the body of the inner loop is executed for a given n. Your task is to (you do not need to argue for your answers): 1. (4p) Express T(n) as a sum of the form j=1 2. (4p) Use your previous answer to give the exact value of T(n), expressed as a polynomial in n. 3. (4p) Find q such that T(n) (n").
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