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Please show work and solve in Asymptotic complexity using big O notation. (8 pts) Assume n...
Using C++ please explain What is the Big-O time complexity of the following code: for (int i=0; i<N; i+=2) { ... constant time operations... Select one: o a. O(n^2) O b. O(log n) c. O(n) O d. 0(1) What is the Big-O time complexity of the following code: for(int i=1; i<N; i*=2) { ... constant time operations... Select one: O O a. O(n^2) b. 0(1) c. O(n) d. O(log n) O What is the Big-O time complexity of the following...
Which big-O expression best characterizes the worst case time complexity of the following code? public static int foo(int N) ( int count = 0; int i1; while (i <N) C for (int j = 1; j < N; j=j+2) { count++ i=i+2; return count; A. O(log log N) B. O(log N2) C. O(N log N) D. O(N2)
Describe the order of magnitude of the following code section using Big(O) notation. k=0; for (i= 0; i<N; i++)
Give asymptotic tight bound for T(n) = 71(n/2) + n2. Assume that T(n) is constant for n < 2. A. n2 B. n to the power of log subscript 2 7 end exponent C. nalogn D. n to the power of log subscript 2 7 end exponent log n
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;
Describe the worst case running time of the following pseudocode functions in Big-Oh notation in terms of the variable n. Show your work b) void func(int n) { for (int i = 0; i < n; i = i + 10) { for (int j = 0; j < i; ++i) { System.out.println("i = " + i); System.out.println("j = " + j);
(10') 6. For each of the following code blocks, write the best (tightest) big-o time complexity i) for (int i = 0; ǐ < n/2; i++) for (int j -0: ni j++) count++ i) for (int í = 0; i < n; i++) for (int ni j0 - for (int k j k ni kt+) count++ İİİ) for (int í ー 0; i < n; i++) for(int j = n; j > 0; j--) for (int k = 0; k...
Compute the Big O notation. Explain how you got the answer. on W NA 1 public String modify (String str) { if (str.length() <= 1) return ""; int half = str.length() / 2; modify(str.substring(half)); 5} 1 2 3 for (int i = 0; i<n; i++) { for (int j 0; j < 5; j++) { for (int k = 0; k<n; k++) { 4 if ((i != j) && (i != k)) { 5 System.out.println(k); 6 } 7 } 8...
II. ALGORITHM COMPLEXITY AND ASYMPTOTIC ANALYSIS The below visual representations of iterative looping structures are provided for Question 3 through Question 20. Algorithm 1 Algorithm 2 log.n 256 Algorithm 3 Algorithm 4 n (10) Match one of our algorithms to the below code snippet. for (int i = 0; i <n; i++) { for(int j = 0; j<n; j++) { for (int k = 0; k<n; k++) { nop++; nop++; nop++; } } } for (int i = 0; i...
Example 3: The Growth of Functionsand Asymptotic notation a) Show that x is O(x )but that r is not O(x b) Give as good a big-O estimate as possible for each of the following (A formal proof is not required, but give your reasoning): log,n! 7n n +nlo 3n2 +2n+4 . (n log, (log,n") 2 42" c) Which of the functions in part b) above has the fastest growth rate? d) Show that if f(x) is Ollog, x)where b>1, and...