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Question

Let A[1, ..., n] be an array storing a bit (1 or 0) at each location, and f(m) is a unction whose time complexity is θ(m). Consider the following program fragment written in a C like language:

counter = 0;
for (i = 1; i < = n; i++)
{
if (A[i] == 1)
counter++;
else {
f(counter);
counter = 0;
}
}

The complexity of this program fragment is

a.

Ω(n^2)

b.

Ω(nlog n) and O(n^2)

c.

θ(n)

d.

O(n)

Answer: (c).θ(n)

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Q. Let A[1, ..., n] be an array storing a bit (1 or 0) at each location, and f(m) is a unction whose time complexity is θ(m). Consider the following program fragment written in a C...

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