The amortized time efficiency for performing deletion of a minimum element is? a) O(N) b) O(log N) c) O(N2) d) O(M log N)
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The amortized time efficiency for performing deletion of a minimum element is?
a) O(N)
b) O(log N)
c) O(N2)
d) O(M log N)
Step by step
Solved in 2 steps
- Time Complexity Big Oh Proof: 1) Prove that 4 = O(1) 2) Prove that n^3+2000=O(n^3) Use Simple notations like O(g(n)) or C.n or something of that sort. With explanations2. Binary Search Algorithm (c) Consider the elements 15 9 78 54 13 19 6 21 52 87 91 Perform the analysis by showing how the location of the number 52 can be found by using binar search algorithm. i=1; j=n; while (i< j) m=(i+j)/2 a1 a2 a3 a4 a5 аб a7 a8 a9 a10 a11 a12 15 9 78 54 13 19 2 1 52 87 91 j= m=Consider that we have the following list of integers in increasing order: 123456789 10 11 12 13 We want to find the Index of the element x5 using the following binarySearch procedure. How many times is binarySearch procedure called? procedure binarysearchl), ), K: Integers, 11 sn) m + /21 If xa then return m else it (xa and j>m) then return binarySearch(m+1jx) else returno Select one O a3 O b.4 O c2 O d.5
- The worst-time complexity for merge sort is O(1) O O(log2N) O O(N) O(NlogN) O O(N*N)Explain the behavior of Quicksort Algorithm when the input array A [1: n] consists of n identical elements.Get the time complexity function from the pseudocode for the addition of the 2 matrices below, and prove whether the big-oh is O(n^2) so that it satisfies the rule f(n) <= c g(n) for(i = 0 ; i < rows; i++){for(j = 0; j < columns; j++)matrix2[i][j] = matrix1[i][j] + matrix2[i][j];} for(i = 0 ; i < rows; i++){for(j = 0; j < columns; j++){printf("%d ", matrix2[i][j]);}printf("\n");}
- For the two statements about the running time of ALGO, I need an explanation if it is True and F if it is false 1) The increment operation in Line 6 is executed a total of n/2 times in the worst case 2) The decrement operation in Line 10 is executed O(n) times. For Reference the Answer for 1 is False and 2 is TrueThe worst time complexity for merge sort is: a) O(n)2 b) O((n )log n) c) O(nlogn) d) O(log n) e) O(1)The expression for the Hann window coefficients is mfn]= 1+ cos(2m) N-1 2n w[n]: N-1 for 02 Find the worst-case time complexity of the following pseudocode and express in notation. 1: for i=1 to n - 1 do 2: min = i 3: for j=i+1 to n do 4: 5: 6: // Find the index of the i-th smallest element if A[j]What is the run time efficiency of an insertion algorithm?a) O(N)b) O(log N)c) O(N2)d) O(M log N)Recommended textbooks for youDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill Education
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