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3. Calculate the time complexity of the following algorithm: 1. Initialize sum to 0. I 2....
What is the time-complexity of the algorithm abc? Procedure abc(n: integer) s := 0 i :=1 while i ≤ n s := s+1 i := 2*i return s consider the following algorithm: Procedure foo(n: integer) m := 1 for i := 1 to n for j :=1 to i2m:=m*1 return m c.) Find a formula that describes the number of operations the algorithm foo takes for every input n? d.)Express the running time complexity of foo using big-O/big-
In Java Language Write a recurrence equation expressing the time complexity of the following algorithm. Explain your answer. Assume that n is a power of 2. Algorithm rec(n) Input: Integer value n ≥ 0 if n = 0 then return 1 else { c ← 0 For i ← 0 to n−1 do c ← c + i c ← c + rec(n/2) return c }
3. Analyze the time complexity of the following program segm i = 1; s = 0; while (i<n) { S += i; i *= 2:
Exercise 7.3.5: Worst-case time complexity - mystery algorithm. The algorithm below makes some changes to an input sequence of numbers. MysteryAlgorithm Input: a1, a2....,an n, the length of the sequence. p, a number Output: ?? i != 1 j:=n While (i < j) While (i <j and a < p) i:= i + 1 End-while While (i <j and a 2 p) j:=j-1 End-while If (i < j), swap a, and a End-while Return( aj, a2,...,an) (a) Describe in English...
What is the time complexity of the following code segment? for (int i = 0; i<n; i--) if (a[i] != 0) sum = a[i]; What is the time complexity of the following code segment? for (int i = 0; i<10; i++) if (a[i] != 0) sum += a[i]; What is the time complexity of the following code segment? for (int i = 0; i<n/2; i++) if (a[i] != 0) sum += a[i]; What is the time complexity of the following...
(V). Given the following algorithm, answer relevant questions. Algorithm 1 An algorithm 1: procedure WHATISTHIS(21,22,...,n: a list of n integers) for i = 2 to n do c= j=i-1 while (j > 0) do if ra; then break end if 4j+1 = a; j= j-1 end while j+1 = 1 end for 14: return 0.02. 1, 15: end procedure Answer the following questions: (1) Run the algorithm with input (41, 02, 03, 04) = (3, 0, 1,6). Record the values...
2. Measure the complexity of the following algorithm: SHOW your work. (15 points) a=1 b 3: for (i = 0, i<= n, i++) d-d-1 for (j:0, j <= n, j++) c=a+b;
Analyze the time complexity of the following algorithm. You may assume that the floor function in line 2 takes Theta (1) time. Please show your work. Input: data: array of integers Input: n: size of data Output: median of data 1 Algorithm: MedianSelect 2 lim = [n/2] + 1 3 min = - infinity 4 for i = 1 to lim do 5 prev = min 6 min = infinity 7 for j = 1 to n do 8 if...
1. What is the Big-Oh runtime complexity of the following algorithm? A. for (i = 5; i <= 2 * n; i++) cout << 2 * n + i – 1; << enld; 2. State the preconditions &/or postcondition for each of the following. A. ) if (x >= 0) y = x + y; else y = y - x; B.) /* precondition: m <= n */ s = 0; for (i = m; i <= n;...
What is the worst-case asymptotic time complexity of the following divide-andconquer algorithm (give a Θ-bound). The input is an array A of size n. You may assume that n is a power of 2. (NOTE: It doesn’t matter what the algorithm does, just analyze its complexity). Assume that the non-recursive function call, bar(A1,A2,A3,n) has cost 3n. Show your work! Next to each statement show its cost when the algorithm is executed on an imput of size n abd give the...