Compute time complexity of the given program. The complexity computation should be for the complete program. Map it on its relevant standard function. Computation should be clear. For(i=1; i<=n; i++) For(j=i; j<=n;j++) For(k=1; k<=j; k++) Print Mark;
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Compute time complexity of the given program. The complexity computation should be for the complete program. Map it on its relevant standard function. Computation should be clear.
For(i=1; i<=n; i++)
For(j=i; j<=n;j++)
For(k=1; k<=j; k++)
Print Mark;
Step by step
Solved in 3 steps
- Must be new solution and run on GNU Common Lisp! Using Lisp, write a program that solves the Missionaries and Cannibals problem that uses a DFS( depth first search). It should use (mac start end). Start is the current state (which can be (3 3 l) and End is the goal state (which can be (0 0 r). This should output the sequences of moves needed to reach the end state from the start state. This should print nil if there is no solution. For example, the call should be something like this! Call: (mac '(3 3 l) '(0 0 r)) Output: ((3 3 l) (2 2 r) (3 2 l) (3 0 r) (3 1 l) (1 1 r) (2 2 l) (0 2 r) (0 3 l) (0 1 r) (1 1 l) (0 0 r))2. The function f is defined for non-negative integers a and b recursively as follows: f (а, b) 3D1 if a = 0 or b = 0 f (a - 1, b f (a f (а, а) 1) + 2a - 1 if a if a > b if a < b b b, b) + f (b, b) + f (b а, а) } Compute f (2, 3) by drawing a recursion tree showing all of the computation required and then use your tree to compute the answer.Which of the following is the recursive definition for the function f(n)=2n with initial condition f(1) = 2? f(n) = 2n + f(n-1) f(n) = 2n - f(n-1) f(n) = 2n * f(n-1) f(n) = 2f(n − 1) Which of the following is the recursive definition for the function f(n)=5n+2 with initial condition f(1)=7? f(n) = 5n - f(n-1) f(n) = 5f(n-1) + 2 f(n) = 5n + f(n-1) f(n) = f(n-1) + 5
- Exercise 3. For each of the following program fragments give a (.) estimation of the running time as a function of n. (a) sum = 0; (b) (c) (d) (e) for (int i = 0; i< n * n; i++) { for(int j = 0; j < n/2; j++) sum++; } sum = 0; for (int i sum++; +; } for (int j } sum = for = } = 0; j < n/2; j++) { sum++; } 0; (int i = 0; i< n * n; i++) { for (int j = 0; j < n * n; j++) sum++ sum = 0; for (int i = 0; iCalculate the time complexity and represent by using asymptotic notation for the following code: int p=3, r=2; int f=1; for(int i=0; iWrite an iterative function that determines the number of even elements in an array a of integers of size n. The function should return the number of elements that are even in array a of size n. Propose an appropriate prototype for your function and then write its code. Write a recursive function to solve the above problem. Propose an appropriate prototype for your function and then write its code.2.7 For each of the following six program fragments: a. Give an analysis of the running time (Big-Oh will do). b. Implement the code in the language of your choice, and give the running time for several values of N. c. Compare your analysis with the actual running times. Chapter 2 Algorithm Analysis (1) sum = 0; for( i = 0; i< n; ++i ) %D ++sum; (2) sum = 0; for( i = 0; i< n; ++i ) for( j = 0; j< n; ++j ) %3D ++sum; (3) sum = 0; for( i = 0; i< n; ++i) for( j = 0; jneed help in python PYTHON PROGRAMMING Submit a code snippet for a function (in the coding sense) that accepts as an input a list of size n and prints all the integers from 1 up to n. This function must have complexity O(n^2). Hint: Efficiency isn't always the answer. Restraints that have corresponding deductions if not followed are listed below: You must only print each number once (-4/20) The algorithm/code function must have complexity to O(n^2) (-20/20) Update: It needs to be O( n^2 ) hence -20/20 The input must be a list not an integer (-4/20) Example: If the input is a list of size 4, the output is 1 2 3 4The time complexity of the following code is O(n^2). In C++, write a code to confirm the time complexity of the following pseudocode: int j = 2 while (j<n) { int k = j while (k<n) { sum += a[k]=b[k] k += n^1/3 log n } j = j*sqrt(5) }Compute time complexity of the given program. The complexity computation should be for the complete program. Map it on its relevant standard function. Computation should be clear. void swap(int *xp, int *yp) { int temp = *xp; *xp = *yp; *yp = temp; } // A function to implement bubble sort void bubbleSort(int arr[], int n) { int i, j; for (i = 0; i < n-1; i++) // Last i elements are already in place for (j = 0; j < n-i-1; j++) if (arr[j] > arr[j+1]) swap(&arr[j], &arr[j+1]); } /* Function to print an array */ void printArray(int arr[], int size) { int i; for (i = 0; i < size; i++) cout << arr[i] << " "; cout << endl; }Write a recursive function, numMoves(), that takes a number representing the number of disks in the Hanoi problem, and returns the number of moves involved. I recommend you start writing this function by modifying the hanoi.py program given. Test cases: numMoves(3) should return 7 and numMoves(4) should return 15. Do not use any global variables. hanoi.pyRecommended 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