Analyze the following programs and show their time complexity functions and big-O notations.
for(int i = 1; i <= n; i+=3)
{
for(int j=1; j <= n; j++)
{
if (j % 3 == 0)
{
// 4 assignments
}
if (2*i + 3 == 5)
{
// 17 assignments
}
}
}
As i is incremented by 3 every time Number of values for i are n/3 As j is incremented by 1 every time Number of values for j are n So, Time complexity = O(Product of time complexities of two nested loops) = O((n/3) * n) =
Analyze the following programs and show their time complexity functions and big-O notations. for(int i =...
Using C++ please explain What is the Big-O time complexity of the following code: for (int i=0; i<N; i+=2) { ... constant time operations... Select one: o a. O(n^2) O b. O(log n) c. O(n) O d. 0(1) What is the Big-O time complexity of the following code: for(int i=1; i<N; i*=2) { ... constant time operations... Select one: O O a. O(n^2) b. 0(1) c. O(n) d. O(log n) O What is the Big-O time complexity of the following...
Show the Big O Complexity of the following functions and loop constructions: (Please show work and explain) a. f(n) = 2n + (blog(n+1)) b. f(n) = n * (log(n-1))/2 c. int sum = 0; for (int i=0; i<n; i++) sum++; for (int j=n; j>0; j /= 2) sum++; d. int sum = 0; for (int i=n; i>0; i--) for (int j=i; j<n; j *= 2) sum++;
Show your work Count the number of operations and the big-O time complexity in the worst-case and best-case for the following code int small for ( i n t i = 0 ; i < n ; i ++) { i f ( a [ i ] < a [ 0 ] ) { small = a [ i ] ; } } Show Work Calculate the Big-O time complexity for the following code and explain your answer by showing...
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Question 1 (25 pts) Find the running time complexity for the following code fragments. Express your answers using either the Big-O or Big-Θ notations, and the tightest bound possible. Justify your answers. for(int count O , i -0; i < n* n; i++) for(int i0 ; j <i; j++) count++ for(int count O , i -0; i
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