A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. For example, the smallest 5 prime numbers are 2, 3, 5, 7, 11. To check if a number n is prime, it is sufficient to check if there exists no prime p such that p *p <= n and n % p == 0. Use the process described previously (trial division), to generate a list of all primes not larger than n. Return the size of the list of generated primes. >>> generate_primes (2) >> generate_primes (3) >> generate_primes (8) 4 Write the function generate_primes(n) to return the number of primes not larger than n.
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- a. Write a version of the sequential search algorithm that can be used to search a sorted list. (1, 2) b. Consider the following list: 2, 20, 38, 41, 49, 56, 62, 70, 88, 95, 100, 135, 145 Using a sequential search on ordered lists, that you designed in (a), how many comparisons are required to determine whether the following items are in the list? (Recall that comparisons mean item comparisons, not index comparisons.) (1, 2) 2 57 88 70 135 Write a program to test the function you designed. Note: Have the function,seqOrdSearch, return -1 if the item is not found in the list. (return the index of the item if found).For this exercise, a list of non-negative numbers will be given, for which the following operation can be done: subtract 1 from two contiguous elements from the list. It must say whether after any number of operations the list can be converted to a list of zeros. EntryThe input will be a list of non-negative integers x_i such that 0 <= x_i <= 2000000000. ". DepartureIf the given list can be converted to a list of zeros with the operation defined above, print "YES", otherwise, print "NO". Examples Input Example 1 1 2Output Example 1 NOT Input Example 2 2 4 2Output Example 2 YESAn ordinary ruler is a straight piece of wood where distances 0, 1, 2 . . . , N are marked, for some N ≥ 1. A sparse ruler (or simply a ruler ) is an ordinary ruler from which some of the numbers 1, . . . , N −1 may have been deleted. The number of marks on the ruler is its order and the value N is its reach. Here, we will represent a ruler as a Python list of strictly increasing integers starting with 0. For instance [0,1,3,7] is a ruler of order 4 and reach 7. could you please help me answer this in python , the part in bold explains what they mean by ruler here
- An ordinary ruler is a straight piece of wood where distances 0, 1, 2 . . . , N are marked, for some N ≥ 1. A sparse ruler (or simply a ruler ) is an ordinary ruler from which some of the numbers 1, . . . , N −1 may have been deleted. The number of marks on the ruler is its order and the value N is its reach. Here, we will represent a ruler as a Python list of strictly increasing integers starting with 0. For instance [0,1,3,7] is a ruler of order 4 and reach 7. can you please provide the code for this question in python , the part in bold gives a background .An ordinary ruler is a straight piece of wood where distances 0, 1, 2 . . . , N are marked, for some N ≥ 1. A sparse ruler (or simply a ruler ) is an ordinary ruler from which some of the numbers 1, . . . , N −1 may have been deleted. The number of marks on the ruler is its order and the value N is its reach. Here, we will represent a ruler as a Python list of strictly increasing integers starting with 0. For instance [0,1,3,7] is a ruler of order 4 and reach 7. A sparse ruler of reach N is complete if it is possible to measure all distances between 1 and N by taking the dierences between two marks. For instance [0,1,3] is complete because the pairs (0, 1), (1, 3), and (0, 3) yield distances of 1, 2, and 3 respectively. (Note that the pair of marks do not need to be consecutive.) On the other hand, [0,1,4] is not complete as there is no way to measure a distance of 2. could you please provide the code for this question in python , the parts in bold explain some of the concepts in this…Write a program that inputs a list of integers from the user, and removes the duplicate list elements, plus outputs their min and max values.
- Write a program that reads a list of integers, and outputs whether the list contains all even numbers, odd numbers, or neither. The input begins with an integer indicating the number of integers that follow. Input: 5 2 4 6 8 10 Output: all even Input: 5 1 3 5 7 9 Output: all odd Input: 5 1 2 3 4 5 Output: not even or odd Your program must define and call the following two functions. is_list_even() returns true if all integers in the list are even and false otherwise. is_list_odd() returns true if all integers in the list are odd and false otherwise.def is_list_even(my_list)def is_list_odd(my_list) My Code: def is_list_even(my_list):i = 0while i < list_length: i = i + 1if my_list[i]%2 == 0:return False or True def is_list_odd(my_list):i = 0while i < list_length: i = i + 1if my_list[i]%2 != 0:return False or True if __name__ == '__main__':list_length = int(input())my_list = int(input())i = 0while i < list_length:i = i + 1my_list.append(int(input())if is_list_even(my_list) ==…Write a java code that sorts a list of n items by dividing it into three sublistsof about n/3 items, sorting each sublist recursively and merging the threesorted sublists. Analyze your algorithm, and give the results under ordernotation.Please answer it in Python Write a function pairsbypairslist that would return pair by pair from the smallest value to the biggest value For example [12, 13, 11, 15], # return : (11, 12) and (13, 15) [9, 15, 4, 24, 19, 2] # return : (2,4) (9,15) (19,24) [1, 5, 9, 15, 21, 9, 12, 9], # return : (1,5) (9,9) (9,12) (15,21)
- A fibonacci series is defined as a series where the number at the current index, is the value of the summation of the index preceding it (index -1) and (index-2). Essentially, for a list fibonacci_numbers which is the fibonacci numbers series, fibonacci_numbers[i] = fibonacci_numbers[i-1] + fibonacci_numbers[i-2] The fibonacci series always begins with 0, and then a 1 follows. So an example for fibonacci series up to the first 7 values would be - 0, 1, 1, 2, 3, 5, 8, 13 Complete the fibonacci(n) function, which takes in an index, n, and returns the nth value in the sequence. Any negative index values should return -1. Ex: If the input is: 7 the output is: fibonacci(7) is 13 Important Note Use recursion and DO NOT use any loops. Review the Week 9 class recording to see a variation of this solution. def fibonacci(n): if (n < 0 ): return -1 else: return n fibonacci_numbers = (fibonacci[n - 1] + fibonacci[n - 2]) return fibonacci_numbers(n) # TODO: Write…Write a program in python with a function isPal(L), where L is a list of integers, and the function returns True if the list is a palindrome, False otherwise. For example [5, 2, 9, 9, 2 5] is a palindrome. Use the reverse() method of list and check if the reversed list is the same as the original list.Write a program that receives a list of integers and prints out that list after removing prime numbers from the list. Test your program with multiple lists of numbers and make sure it works properly. For instance, if the input is [1, 2, 3, 4, 5, 6, 7], it should print [1, 4, 6]. IN PYTHON