*n = A.length; int x; for (int i = 0; i = 0) { System.out.println (A [0]); x--; } This algorithm has a Grand O complexity of ... (select all the correct answers): O(n) O (n log2 n) none of the above O (log2n)
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*n = A.length;
int x;
for (int i = 0; i <n; i ++) {
x = 1;
while (x <n) {
x = x + 2;
}
}
x = x / 2;
while (x> = 0) {
System.out.println (A [0]);
x--;
}
This
- O(n)
- O (n log2 n)
- none of the above
- O (log2n)
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- In questions 4-10 estimate the Big O value by analyzing the code. Note the algorithms are written in English. Hint: you are interested in the number of operations for each algorithm.Exercise 1 Given the following recursive version of selection sort:public void recursiveSelectionSort(int a[], int n, int index){if (index == n)return;int k = minIndex(a, index, n-1);if (k != index)swap(a, k, index);recursiveSelectionSort(a, n, index + 1);}minIndex is a separate function that finds the smallest value in the given array “a” from“index” to “n-1” index values.swap is a separate function that swaps elements in the given array “a” between theelements at index “k” and “index” respectively.Assuming these 2 functions work as expected, there may be an error with therecursiveSelectionSort code. Answer the following:1) Design your own set of 8 unsorted integers in an array2) Determine what the given code will produce with your array by describing what thearray looks like with each recursive instance of recursiveSelectionSort3) If the code does have an error, describe the error, where it is, and how you would fixitFor example, if you said your array was [4 2 3 1 5 6 7 8], then…public boolean isprefix(String s1, String s2) {int i = 0;if(s1.length > s2.length) return false;while(i < s1.length) {if(s1[i] != s2[i])return false;i++;}return true;} Use the active operation approach and determine the exact number of times the active operation is executed in the worst case. Express your answer in terms of n, the length of the string s1. Hint: simplify your final answer as much as possible, and do not put spaces in your answer. Use juxtaposition for the multiplication operator, for example to write "nine times n" write "9n" not "9xn" or "9*n"; to write "four times (n+2)" write "4(n+2)", not "4x(n+2)" or "4*(n+2)". Do not write your answer in Big-O notation. Write the exact number of lines executed.
- Write a recursive algorithm with the following prototype: int divide (int x, int y); that returns x/y (integer division). You need not test for divide by 0. THE FUNCTION MUST BE RECURSIVE. (hint: base case should be when xbool 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;}Trace the following code and write what it does. void Finals(X, Y, m, n) { int i=1, j-1, k=13; while (i <=m && j<=n) { if (X[i]Find the values of n and m to solve this puzzle int n = ? int m = ? int t = 76; int s = 0; char *msg = "Do you like spaghetti? Try some spaghetti! It's good, right?\n" "What, you prefer structured loops? How mundane.\n"; goto LTOP; LEND: failure(msg); LOM1: n = (n<<2) - n + 1; LCHK: if(s == t && m == t){ goto LAFT; } s++; goto LTOP; LOC1: if(n & 1){ goto LOM1; } goto LEM1; LTOP: if(!(n>1)){ goto LEND; } goto LOC1; LEM1: n = n >> 1; goto LCHK; LAFT: return;The following code segment has ______ time complexity?for(int i = 0; i < n; i++){ for(int j = 0; j < n: j = j * 2){ int val = (j * i); System.out.println(val) }} O(1) O(n) O(n2) O(nlogn)Consider the following recursive method: Public static int Fib(int a1, int a2, int n){ if(n == 1) return a1; else if (n == 2) return a2;else return Fib(a1, a2, n-1) + Fib(a1, a2, n-2);} Please draw the recursion trace for Fib(2,3,5)Recommended textbooks for youDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education