How to measure the time complexity of an
algorithm?
Identify an important operation in the algorithm...
How to measure the time complexity of an
algorithm?
Identify an important operation in the algorithm that is
executed most frequently.
Express the number of times it is executed as a function of
N.
Convert this expression into the Big-O notation.
A. For each of the three fragments of code, what is its
worst-case time complexity, in the form "O(…)". (Use the
given solution to the first problem as a
model)
//----------------- This is a sample problem – solved
------...
Below is C code and Python code for an algorithm.
C code:
void foo( int n,...
Below is C code and Python code for an algorithm.
C code:
void foo( int n, int A, int B, int C ) {
if( n==1 ) {
printf("%d to %d\n",A,B);
return;
}
foo( n-1, A, C, B );
printf("%d to %d\n",A,B);
foo( n-1, B, C, A );
Python code:
def foo(n , A, B, C):
if n==1:
print A, "to", B
return
foo(n-1, A, C, B)
print A, "to", B
foo(n-1, B, C, A)
Let Hn be the number...
Given the following algorithm, matching each statement to the
correct sequence for complexity analysis.
procedure Alg3(A):...
Given the following algorithm, matching each statement to the
correct sequence for complexity analysis.
procedure Alg3(A): A is a list of n integers
1 for i = 1 to n-1 do
2 x=aix=ai
3 j = i − 1
4 while (j ≥≥ 0) do
5 if x≥ajx≥aj then
6 break
7 end if
8 aj+1=ajaj+1=aj
9 j = j − 1
a end while
b aj+1=xaj+1=x
c end for
d return A
The complexity of this algorithm is O(n2)O(n2)...
1. Given an
n-element array A, Algorithm X executes an
O(n)-time computation for each even
number...
1. Given an
n-element array A, Algorithm X executes an
O(n)-time computation for each even
number in A and an O(log n)-time computation for
each odd number in A.
What is the best-case running time of Algorithm X?
What is the worst-case running time of Algorithm X?
2. Given an array,
A, of n integers, give an O(n)-time algorithm that finds
the longest subarray of A such that all the numbers in that
subarray are in sorted order. Your algorithm...
public int linearSearch2(ArrayList<Integer> pList, Integer pKey) {
for (int i = 0; i <= pList.size() /...
public int linearSearch2(ArrayList<Integer> pList, Integer pKey) {
for (int i = 0; i <= pList.size() / 2; ++i) {
if (pList.get(i).equals(pKey)) {
return i;
} else if (pList.get(pList.size() - 1 - i).equals(pKey)) {
return pList.size() - 1 - i;
}
}
return -1;
}
-----
Q1)Which function f(n) counts how many times the key operation(s) is(are) performed as a function of the list size n when pKey is not in pList (the worst case behavior of linearSearch2() occurs when pKey...
Answer the questions based on the program given below.
a) Write the function prototype of fnFunny...
Answer the questions based on the program given below.
a) Write the function prototype of fnFunny function.
b) Write the output produced by the above program
#include <stdio.h>
int main (void){
unsigned short i =4;
unsigned long j = 6 ;
short k = 2 ;
k = fnFunny ( i , j );
printf("i = %hu, j = %lu, k =
%hi\n", i, j, k);
return 0;
}
short fnFunny (unsigned short i,...