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For each of the following program fragments, give its approximate running time as a function of n. You should use tilde notation. (This is pseudocode:
For each of the following program fragments, give its approximate running time as a function of n. You should use tilde notation. (This is pseudocode: the syntax isn't exactly the same as Java, but the meaning is the same as what you would get if you added types and curly braces so it would compile.) Briefly explain your reasoning for each answer.
a.
sum = 0; for (i = 0; i < n; ++i) ++sum;
b.
sum = 0; for (i = 0; i < n; ++i) for (j = 0; j < n; ++j) ++sum;
c.
sum = 0; for (i = 0; i < n; ++i) for (j = 0; j < n * n; ++j) ++sum;
d.
sum = 0; for (i = 0; i < n; ++i) for (j = 0; j < i; ++j) ++sum;
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