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(Solved): How many iterations occur in the following loop command in the following program. a. 6 b. 12 Compa ...




How many iterations occur in the following loop command in the following program.
a. 6
b. 12
Comparing the worst-case performance of sequential versus binary search, for lists of length \( n \), is shown in the followi
Find the output.
\[
\begin{array}{l}
x:=1 \\
y:=10 \\
\text { while } x^{2}<y \\
\mid \begin{array}{l}
y:=y+x \\
x:=x+1
\end{
The sum of the squares of the first \( n \) odd positive integers is what order of \( n \) ?
a. \( O(n) \)
b. O(1)
c. \( O\le
Determine the complexity function that measures the number of print statements in an algorithm that takes a positive integer
Give a big-O estimate of the following polynomial function.
\[
5 x^{4}-37 x^{3}+13 x-4
\]
a. \( O\left(x^{2}\right) \)
b. \(
Following algorithm sorts into numeric order.
Input: \( A \) list \( X=(x 1, x 2, \ldots, x n) \) of numbers
begin
for \( k:=
Following algorithm sorts a list of numbers into numeric order and is Bubble sort algorithm.
Input: \( A \) list \( X=(x 1, x
Give a big-O estimate of the following function. \( \log _{10}\left(2^{n}\right)+10^{10} n^{2} \).
a. \( O(n)^{\prime} \)
b.
Following algorithm sorts a list of numbers into numeric order and is called Insertion sort algorithm.
Input: \( A \) list \(
How many iterations occur in the following loop command in the following program.
a. infinite
b. 7
C. 12
d. 6
How many iterations occur in the following loop command in the following program.
a. 6
b. 12
c. infinite
d. 7
How many iterations occur in the following loop command in the following program. a. 6 b. 12 Comparing the worst-case performance of sequential versus binary search, for lists of length \( n \), is shown in the following figure. Which algorithm has higher time complexity? \( =2+2 n \) (sequential search) \( =3+2 \log _{2}(n) \) (binary search) 2 (length of list) a. sequential and binary search has the same time complexity b. binary search c. sequential search d. can not be determined Clear my choice Find the output. \[ \begin{array}{l} x:=1 \\ y:=10 \\ \text { while } x^{2}x i+1 \) then temp := \( x i \) \( x i:=x i+1 \) \( x i+1:= \) temp end end end output \( x \) end Following algorithm sorts a list of numbers into numeric order and is Bubble sort algorithm. Input: \( A \) list \( X=(x 1, x 2, \ldots, x n) \) of numbers begin for \( k:=1 \) to \( n-1 \) do for \( i:=1 \) to \( n-k \) do if \( x i>x i+1 \) then temp :=xi \( x i:=x i+1 \) \( x i+1:= \) temp end end end output \( x \) end Give a big-O estimate of the following function. \( \log _{10}\left(2^{n}\right)+10^{10} n^{2} \). a. \( O(n)^{\prime} \) b. \( O(1 / n) \) c. \( O(1) \) d. \( O\left(n^{2}\right) \) Following algorithm sorts a list of numbers into numeric order and is called Insertion sort algorithm. Input: \( A \) list \( X=(x 1, x 2, \ldots, x n) \) of numbers begin for \( k:=1 \) to \( n-1 \) do for \( i:=1 \) to \( n-k \) do if \( x i>x i+1 \) then temp \( :=x i \) \( x i:=x i+1 \) \( x i+1:= \) temp end end end output \( x \) How many iterations occur in the following loop command in the following program. a. infinite b. 7 C. 12 d. 6 How many iterations occur in the following loop command in the following program. a. 6 b. 12 c. infinite d. 7


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1) The loop runs infinite number of times. This is because initially x=1 and as x<=6 we enter the loop. Now x gets decreased by 1 continously and the
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