Suppose an algorithm requires n3 steps to complete its task with an input of size n. If the size of the input is doubled, then the algorithm will require __n3 steps to complete the task.
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- An n x n square is divided into 1 x 1 squares, each of which must be colored black or white. The number of desired black squares in each horizontal and vertical row is given by arrays H[1..n] and V [1..n]. Give an algorithm that colors the squares, or reports that this is impossible.Suppose an algorithm requires 2n steps to complete a task for an input of size n. If the size of the input is doubled, what happens to the number of steps? The number of steps for the larger input is equal to the number of steps for the original input. The number of steps for the larger input is twice the number of steps for the original input. The number of steps for the larger input is four times the number of steps for the original input. The number of steps for the larger input is the square of the number of steps for the original input. The number of steps for the larger input is more than the number of steps for the original input, but is none of the above.In a program, "write the program's algorithm(algorithm like step by step, not code)" that calculates the sum of odd integers (T1) from 1 to N, the sum of even integers (T2), the sum of integers increasing by 5 (T3) and that prints these values(T1, T2, T3) on the display.
- Suppose an algorithm requires lg n steps to complete its task with an input of size n. How many steps will the algorithm require if the size of the input is doubled? Assume that lg n is an integer.Simplistic Algorithms with a Fixed Number of Integers Write a program that takes three integers and outputs them in reverse order of how they were entered. For example, if the user enters 39, 51, 16 then the program should output 16, 51, 39.(Computation) A magic square is a square of numbers with N rows and N columns, in which each integer value from 1 to (N * N) appears exactly once, and the sum of each column, each row, and each diagonal is the same value. For example, Figure 7.21 shows a magic square in which N=3, and the sum of the rows, columns, and diagonals is 15. Write a program that constructs and displays a magic square for a given odd number N. This is the algorithm:
- Big O notation indicates how hard an algorithm may have to work to solve a problem. In relation to searching and sorting algorithms, describe: (i) O(1) (ii) O(n) (iii)O(n2)Write an algorithm without loops that reads 5 distinct integers and displays the largest value. Assume the input values are distinct integers.Describe an algorithm that takes as input a list of n integers and finds the total numberof negative integers in the list.Write its corresponding program using your favorite programming language.
- Create the pseudocode for an algorithm that finds all terms of a finite sequence of integers than are greater than the sum of all the previous terms of the sequence. Initialize the sum to 0 before processing any of the integers in the sequence. Show every step when the sequence of integers is -1, -2, 0, 1, 3, 2, 0 Index: 1 2 3 4 5 6 7 Array: -1 -2 0 1 3 2 0Question 10 If an algorithm takes n^2 operations, and the computer can perform 100 billion operations per second, what is a reasonable estimate of how long it will take to sort 2 billion elements (assuming there is ample memory, the computer doesn't crash, etc.)? Selected answer will be automatically saved. For keyboard navigation, press up/down arrow keys to select an answer. a) 1 second b) 1 minute c) 1 hour d) 1 day e) 1 month f) 1 year g) 1 decade h) 1 centurycalculate 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); }