File Home Convert Edit Organize Comment Viewm ThHand Select SnapShot Clipboard Bookmark Zoom Page Fit Reflow RotateOptionViewStartBO>>>0di<< <2/315°CHeavy raindn1-EN (3).pdfXfoo(A)LForm Protectreturn xFoxit eSignΤΙ DEdit Edit Typewriter Highlight Rotate Insert FromText ObjectPagesn← A.lengthx ← A[1]for i 2 to n doif A[i]> x thenX = A[i]dn1-EN (3).pdf - Foxit PDF EditorAccessibility HelpShareProblem 4: Let A be an integer array of length n. The following algorithm is given:Q SearchO Tell me...(i) What does foo(A) return?(ii) Write a loop invariant for foo(A).(iii) Using a loop invariant, prove that foo(A) is correct.Quick Fill &Scanner Recognition SignHm|ENGEQ▾ Q Find+ 200%0X4x D3:33 AM11/5/2023

We need to write the what will return the algorithms and its loop invariant and is it's loop…

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Another recursive algorithm is applied to some data A = (a₁, ..., am) where m = 2* (i.e. 2, 4, 8,16 ...) where x is an integer ≥ 1. The running time T is characterised using the following recurrence equations: T(1) = c when the size of A is 1 T(m) = 2T (2) + c otherwise Determine the running time complexity of this algorithm.
I need help with this code because I am struggling and I don't know what to do : question: you will develop a solver for the n-queens problem: n queens are to be placed on an n x n chessboard so that no pair of queens can attack each other. Recall that in chess, a queen can attack any piece that lies in the same row, column, or diagonal as itself. A brief treatment of this problem for the case where n = 8 is given below (from the 3rd edition of AIMA). N-queens is a useful test problem for search, with two main kinds of formulation. An incremental formulation involves operators that augment the state description, starting with an empty state; for the 8-queens problem, this means that each action adds a queen to the state. A complete-state formulation starts with all 8 queens on the board and moves them around. (In either case, the path cost is of no interest because only the final state counts.) The first incremental formulation one might try is the following, but (!) there are a very…
Consider the following recursive algorithm Algorithm Q(n)// Input: a positive integer nif n == 1 return 1else return Q(n-1)+2*n-1 1) Set up a recurrence relation for this function’s value and solve it to determine what this algorithm computes. 2) Setup a recurrence relation for the number of multiplication made by this algorithm and solve it to find the total number of multiplications that are executed.
The recursive algorithm below takes as input an array A of distinct integers, indexed between s andf, and an integer k. The algorithm returns the index of the integer k in the array A, or ?1 if the integerk is not contained within A. Complete the missing portion of the algorithm in such a way that you makethree recursive calls to subarrays of approximately one third the size of A.• Write and justify a recurrence for the runtime T(n) of the above algorithm.• Use the recursion tree to show that the algorithm runs in time O(n).FindK(A,s,f,k)if s < fif f = s + 1if k = A[s] return sif k = A[f] return felseq1 = b(2s + f)=3cq2 = b(q1 + 1 + f)=2c... to be continued.else... to be continued.
The n-th harmonic is the sum of the reciprocals of the first n natural numbers given by: 17 1.1 1 1 H₁ =Σ =1+=+=+ - 2 3 4 k=1 k +. + n (i) Write a recursive algorithm of this function returning, H, with nε N. (ii) Give a recurrence relation for the number of divisions the recursive algorithm calculates for an input n & N. iii) Solve the recurrence relation and give the O(n) of the algorithm.
How can I easily tell if these following are a well-formed expresion: ([]{XXX}xxx()xxx)([{[(([{x}])x)]}x]) (XX[XXX)XX]([{[(([{x}])x)]}x}) (XX(XX())XXX)XXX) so far it's confusing to understand what makes something a well-formed expresion and something that's an ill-formed expression
Java: Consider the following algorithm for searching in an unsorted array. If the size of the array is 1, then check if it contains the element to be searched. Otherwise, divide the array into two halves, and recursively search both halves. Which of (a)–(c) is false? The running time of this algorithm is O(N) The actual running time of this algorithm is likely to be better than sequential search. This is an example of a divide‐and‐conquer algorithm all of the above are true none of the above is true
Let A be an array of n integers: (a) Write a pseudo code for a divide-and-conquer algorithm that computes the MAX and MIN values in array A . (b) Write the recurrence for this algorithm. (c) Solve the recurrence using the substitution method.
Please show and explain so I can nderstand.
bool isprime(long n) /* fixed from to https://www.geeksforgeeks.org/euclid-euler-theorem/?ref=lbp */{ // check whether a number is prime or not int i; for (i = 2; i * i <= n; i++) if (n % i == 0) return false; return true;}
With the Binary Search algorithm, the algorithm can be developed by the loop-based form as well as a recursive form. Which of the following is not true? O If the item is not found, the loop version returns when the range bounds reach, but the recursive version finishes when the recursive depth is more than half the initial search range. The search range starts with the whole array, and only the recursive version can work on a subrange passed through arguments. O Both forms of the program divide the search range repeatedly in half. O If the item is found, the loop version returns from the entire method, whereas the recursive version returns from one level of recursion.
Use Binary Search, Recursive (Algorithm 2.1) to search for the integer 120 in the following list (array) of integers. Show the actions (execution) step by step. No code needed. Solution: 12 34 37 45 57 82 99 120 134 1. Compute the middle index from initial low (1) and high (9) indices: mid = Continue... A

Problem 4: Let A be an integer array of length n. The following algorithm is given: foo(A) n← A.length x ← A[1] for 2 to n do if A[i] > x then X = A[i] return x (i) What does foo(A) return? (ii) Write a loop invariant for foo(A). (iii) Using a loop invariant, prove that foo(A) is correct.