Find time and space complexity (step by step) of given peace of coad . Element(A[0..n-1]) { maxVal = A[0]; for (int p=1;p maxVal) maxVal = A[i]; { for (int w=0;w
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: Find time and space complexity (step by step) of given peace of
coad .
Element(A[0..n-1])
{
maxVal = A[0];
for (int p=1;p<k;p ++)
{
sum + =p;
while ( s < m)
if(A[i] > maxVal)
maxVal = A[i];
{
for (int w=0;w<f; w++)
sum + =w;
{
for( e = 1; e < nm; e++)
if(A[i] > maxVal)
maxVal = A[i];
}
}
}
return Val;
}
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- What is the leading term for the following expressions and specify the lowest Big O Complexity for each algorithm?The given time complexity is: m T(m-1) + ca > 1 cb = 0 expanding using substitution: m T(m-1) + ca m[(m-1) T(m-2) + ca]+ ca m(m-1) T(m-2) + mca + ca m(m-1) [(m-2) T(m-3) + ca] + mca + ca m(m-1)(m-2) T(m-3) + m(m-1)ca + mca + ca what is the time complexity? form an expression for adding all the caConsider a divide-and-conquer algorithm that calculates the sum of all elements in a set of n numbers by dividing the set into two sets of n/2 numbers each, finding the sum of each of the two subsets recursively, and then adding the result. What is the recurrence relation for the number of operations required for this algorithm? Answer is f(n) = 2 f(n/2) + 1. Please show why this is the case.
- Answer the given question with a proper explanation and step-by-step solution. You are asked to pick up a project on building highways to connect all cities in the country. The cost of building a highway between two cites i and j is c(i, j) > 0. If you were in charge from the beginning, this would have been a minimum spanning tree problem and could be solve easily with the algorithms covered in class. Since you pick it up halfway, however, some suboptimal choices have already been made by your predecessor. In other words, highways were already built between some pairs of cities. Design an algorithm to find a cost minimizing set of highways to built subject to the choices already made. Do not copy others.For each, draw the recursion tree, find the height of the tree, the running time of each layer, and the sum of running times. Then use this info to find the explicit answer for T(n). a. T(n) = 2T(n/4) + √ n (n is a power of 4 (n = 4^k) for some positive integer k) b. T(n) = 9T(n/3) + n^2 (n is a power of 3 (n = 3^k) for some positive integer k) c. T(n) = T(n/2) + 1 (n is a power of 2 (n = 2^k) for some positive integer k)a certain divide and conquer algorithm splits a problem into 16 sub-instances each of which is about one half of the original size it performs 3n^2 characteristic operations to do the splitting and combining. Let T(n) be the time complexity of the algorithm as a function of its input size n a) Determine a recurrence relation for T(n) b) Determine T's Big-0 complexity class using the master theorem.
- Please provide at least one example of an algorithm for each of the following complexity classes: log2n, n, n log2n, n2, n3, 2n, n!, Undecidable..Calculate Cyclomatic complexity for the given code for (i=0 ; i<=N ; i++)p[i] = 1;for (i=2 ; i<=N ; i++){k = p[i]; j=1;while (a[p[j-1]] > a[k] {p[j] = p[j-1];j--;}p[j]=k;}Write all Propositions for Complexity Reduction?