What is the complexity of the following algorithm? def Algo1(n): sum = 0 for( i = 1; is 2"; i*=2) for( j = 1; j< i; j++) sum = sum + 1 return suim
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- Find the space complexity of the following code fib(int n) { if (n <= 1) return n; return fib(n-1) + fib(n-2); }What does the following recursive function do? int f(int n){ if (n==1) return 1; else returm n*f(n-1); } O sum of numbers from 1 to n Factorial of numbern Square of numbers from 1 to n Print the numbers from 1 to n1. Consider the following recursive function: def foo(n): if (n == 0): return 0 return n + foo(n - 1)a. What is foo(5) b. What is foo(10) c. Suppose that n + foo(n - 1) is changed to n * foo(n - 1). What is foo(5) now? d. What happens if foo(-1) is called?
- 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]Use Master Therom to determine the complexity of the following: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;Write a recursive method in java that sums all values between s and n inclusive /* assume s is less than or equal to n to start */ public static int sum(int s, int n) { }calculate number of operations in this algorithm void my_dgemv(int n, double* A, double* x, double* y) { double alpha=1.0, beta=1.0; int lda=n, incx=1, incy=1; cblas_dgemv(CblasRowMajor, CblasNoTrans, n, n, alpha, A, lda, x, incx, beta, y, incy); }Question 8 Consider the following code where n and m can be any number of more than 20. Select the correct time complexity. int iter_count = 0; for (int i = 0; i < n; i *= 2) { for (int j = 0; j < m; j++){ iter_count += 1; } for (int i = }) 0; iint arr[] = {-2, -4, 8, 4, 3, 3, -9};In Java with this given this array, how would this version of Divide and Conqueror be implemented in this case, specifically?1. Analyze the time complexity of the code segment and find their Big-O.void myfunction1(int n){for(int i=0; i < n; i++) {for(int j=0; j < n; j++) {for(int k=0; k < n; k++) {for(int m=0; m < n; m++) {printf("Hello!");} } } }}The following code is used to derive Fibonacci algorithm with this sequence: (0, 1, 1, 2, 3, 5, 8, 13, 21, …) where each number is “add” of two previous ones. int fib(int n){ if (n==0) return 0; else if (n == 1) return 1; else return fib(n−1) + fib(n−2); } Explain why the following RISC-V assembly code works, you need to explain all the details using the comments as hints? # IMPORTANT! Stack pointer must remain a multiple of 16!!!! addi x10,x10,8 # fib(8), you can change it fib: beq x10, x0, done # If n==0, return 0 addi x5, x0, 1 beq x10, x5, done # If n==1, return 1 addi x2, x2, -16 # Allocate 2 words of stack space sd x1, 0(x2) # Save the return address sd x10, 8(x2) # Save the current n addi x10, x10, -1 # x10 = n-1 jal x1, fib # fib(n-1) ld x5, 8(x2) # Load old n from the stack sd x10, 8(x2) # Push fib(n-1) onto the stack addi x10, x5, -2 # x10 = n-2 jal x1, fib # Call fib(n-2)…Recommended textbooks for youDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill Education
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