Calculate the time complexity of the following program fragments.
(a) 𝑓𝑜𝑟 (𝑖 = 1; 𝑖 ≤ 𝑛; 𝑖 ∗ = 2)
{
𝑥 = 𝑥 + 1
}
(b) 𝑓𝑜𝑟 (𝑖 = 1; 𝑖 ≤ 𝑛; 𝑖 + +)
𝑓𝑜𝑟 (𝑗 = 1; 𝑗 ≤ 𝑛; 𝑗 = 𝑗 ∗ 2)
{
… .
… .
}
a)
It is executed, for
The time complexity:
b)
It is executed, n times for
The time complexity:
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