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- 1. A set of integers are relatively prime to each other if there is no integer greater than 1 that divides all the elements. Furthermore, in Number Theory, it is known that the Euler function,ϕ (n), expresses the number of positive integers less than n that are relatively prime with n. Choose the alternative that has the correct value of ϕ(n) for every n below. A) ϕ(5) = 4 B) ϕ(6) = 2 C) ϕ(10) = 3 D) ϕ(14) = 6 E) ϕ(17) = 16Problem Statement: Consider an input string TAM of letters ‘A’, ‘M’, and ‘T’. This string, which is given by the user, ends with ‘#’. It should be stored in a table (or array), called TAMUK. The number of each of these letters is unknown. We have a function, called SWAP(TAM,i,j), which places the ith letter in the jth entry of string TAM and the jth letter in the ith entry of TAM. Note that SWAP(TAM,i,j) is defined for all integers i and j between 0 and length(TAM)–1, wherelength(TAM) is the number of letters of TAM. Using our algorithmic language, write an algorithm, called Sort_TAM, which sorts the letters in the array TAMUK in a way that all T’s appear first, followed by all A’s, and followed by all M’s. The algorithm Sort_TAM should have one parameter: The array TAMUK. Also, your solution is correct only if the following four constraints are satisfied: - Constraint 1: Each letter (‘A’, ‘M’, or ‘T’) is evaluated only once. - Constraint 2: The function SWAP(TAM,i,j) is used…Problem Statement: Consider an input string TAM of letters ‘A’, ‘M’, and ‘T’. This string, which is given by the user, ends with ‘#’. It should be stored in a table (or array), called TAMUK. The number of each of these letters is unknown. We have a function, called SWAP(TAM,i,j), which places the ith letter in the jth entry of string TAM and the jth letter in the ith entry of TAM. Note that SWAP(TAM,i,j) is defined for all integers i and j between 0 and length(TAM)–1, where length(TAM) is the number of letters of TAM. 1. Using our algorithmic language, write an algorithm, called Sort_TAM, which sorts the letters in the array TAMUK in a way that all T’s appear first, followed by all A’s, and followed by all M’s. The algorithm Sort_TAM should have one parameter: The array TAMUK. Also, your solution is correct only if the following four constraints are satisfied: - Constraint 1: Each letter (‘A’, ‘M’, or ‘T’) is evaluated only once. - Constraint 2: The function SWAP(TAM,i,j) is used only…
- Problem Statement: Consider an input string TAM of letters ‘A’, ‘M’, and ‘T’. This string, which is given by the user, ends with ‘#’. It should be stored in a table (or array), called TAMUK. The number of each of these letters is unknown. We have a function, called SWAP(TAM,i,j), which places the ith letter in the jth entry of string TAM and the jth letter in the ith entry of TAM. Note that SWAP(TAM,i,j) is defined for all integers i and j between 0 and length(TAM)–1, where length(TAM) is the number of letters of TAM. 1. Using our algorithmic language, write an algorithm, called Sort_TAM, which sorts the letters in the array TAMUK in a way that all T’s appear first, followed by all A’s, and followed by all M’s. The algorithm Sort_TAM should have one parameter: The array TAMUK. Also, your solution is correct only if the following four constraints are satisfied: - Constraint 1: Each letter (‘A’, ‘M’, or ‘T’) is evaluated only once. - Constraint 2: The function SWAP(TAM,i,j) is used only…Please use python codes and don't copy from previous answers. 3.) Consider the matrix list x = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]. Write a list comprehension to extract the last column of the matrix [3, 6, 9]. Write another list comprehension to create a vector of twice the square of the middle column [8, 50, 128].6 43 2 Let A-7 3 4 6 5. 1. Using the column operator (;); create a column vector that contains all the columns of A
- 5.18 C++ Write a program that reads a list of integers, and outputs those integers in reverse. The input begins with an integer indicating the number of integers that follow. For coding simplicity, follow each output integer by a comma, including the last one. Ex: If the input is: 5 2 4 6 8 10 the output is: 10,8,6,4,2,8.19 (Removing a Particular Word From a Given Line of Text) Write a program that inputs a line of text and a given word. The program should use string library functions strcmp and strcpy to remove all occurrences of the given word from the input line of text. The program should also count the number of words in the given line of text before and after removing the given word using the strtok function. Solve it Without using pointers5. Write a JS program to get the largest even number from an array of integers.
- Q1. Write a program to sort the elements of 1D array in descending order and also implement linear search on the same array. Both sorting and searching operations should be done inside one user defined function: “Task”. So, for achieving the required functionality, pass, array into the function: Task () from main () using Pass by reference/ or address approach.1. Write a code to sort the following arrays using selection sort method. [10, 34, 2, 56,7,67, 88, 42] 2. Write a code to sort the following arrays using bubble sort method. [10, 34, 2, 56, 7, 67, 88, 42] 3. One possible improvement for Bubble Sort would be to add a flag variable and a test that determines if an exchange was made during the current iteration. If no exchange was made, then the list is sorted and so the algorithm can stop early. This makes the best case performance become O(n) (because if the list is already sorted, then no iterations will take place on the first pass, and the sort will stop right there).Modify the Bubble Sort implementation to add this flag and test. Compare the modified implementation on a range of inputs to determine if it does or does not improve performance in practice.Q6. Write a function that takes an unsigned integer andreturns the number of '1' bits it has(also known as the Hamming weight).For example, the 32-bit integer '11' has binaryrepresentation 00000000000000000000000000001011,so the function should return 3.T(n)- O(k) : k is the number of 1s present in binary representation.NOTE: this complexity is better than O(log n).e.g. for n = 00010100000000000000000000000000only 2 iterations are required.Number of loops isequal to the number of 1s in the binary representation."""def count_ones_recur(n): Do it.