Design an algorithm to find the sorted list from two sorted lists of numbers.For example, for the lists 2, 5, 7, 12, 13, 24 and 1, 6, 15, 17, 35, the outputshould be 1, 2, 5, 6, 7, 12, 13, 15, 17, 24, 35. What is the maximum number ofcomparisons your algorithm makes if the lengths of the two given lists are mand n, respectively?
Question
Design an algorithm to find the sorted list from two sorted lists of numbers.For example, for the lists 2, 5, 7, 12, 13, 24 and 1, 6, 15, 17, 35, the outputshould be 1, 2, 5, 6, 7, 12, 13, 15, 17, 24, 35. What is the maximum number ofcomparisons your algorithm makes if the lengths of the two given lists are mand n, respectively?
Solution
Sure, here is a simple algorithm to merge two sorted lists into a sorted list. This algorithm is often referred to as the "merge" part of the merge sort algorithm.
Algorithm:
- Initialize an empty list that will contain the final sorted list.
- While both lists are not empty, compare the first elements of both lists.
- If the first element of the first list is smaller, remove it from the first list and append it to the final list.
- If the first element of the second list is smaller, remove it from the second list and append it to the final list.
- If the elements are equal, remove them from both lists and append them to the final list.
- Repeat steps 2-5 until one or both of the lists are empty.
- If there are remaining elements in either of the lists, append them to the final list. These elements are guaranteed to be in sorted order because the original lists were sorted.
In terms of the maximum number of comparisons, in the worst case scenario, you would have to compare every element in both lists with each other. This would occur when all the elements in the first list are smaller than the elements in the second list, or vice versa. Therefore, the maximum number of comparisons would be m + n - 1, where m and n are the lengths of the two lists, respectively.
Similar Questions
You are given two lists of different lengths of positive integers. Write an algorithm to count the number of elements that are not common to each list.InputThe first line of the input consists of an integer - listInput1_size, an integer representing the number of elements in the first list (N).The second line consists of N space-separated integers representing the first list of positive integers.The third line consists of an integer- listInput2_size, representing the number of elements in the second list (M).The last line consists of M space-separated integers representing the second list of positive integers.OutputPrint a positive integer representing the count of elements that are not common to both the lists of integers.ExampleInput:111 1 2 3 4 5 5 7 6 9 101011 12 13 4 5 6 7 18 19 20Output:12Explanation:The numbers that are not common to both lists are [1, 1, 2, 3, 9, 10, 11, 12, 13, 18, 19, 20].So, the output is 12.
.Given two sorted lists of size m and n respectively.The number of comparisons needed in the worst case by the merge sort algorithm will be?A mnB max(m,n)C min(m,n)D m+n-1
If one uses a straight two-way merge sort algorithm to sort the following elements in ascending order: 20, 47, 15, 8, 9, 4, 40, 30,12, 17Then the order of these elements after the second pass of the algorithm is ________.*1 point8, 9, 15, 20, 47, 4, 12, 7, 30, 408, 15, 20, 47, 4, 9, 30, 40, 12, 1715, 20, 47, 4, 8, 9, 12, 30, 40, 174, 8, 9, 15, 20, 47, 12, 17, 30, 40
Define a function sort_list(list1). The function returns three lists: the original list, the list in ascending order, and the list in descending order. Remember: your function should return three lists.Examplelist1 = [10, 1, 9, 2, 8, 3, 7, 4, 6, 5]Expected output:[10, 1, 9, 2, 8, 3, 7, 4, 6, 5][1, 2, 3, 4, 5, 6, 7, 8, 9, 10][10, 9, 8, 7, 6, 5, 4, 3, 2, 1]
Write a Python program to read two integer lists. If the lengths of the two lists are equal, create a new list that contains the absolute differences between corresponding elements of the given lists, if not, then print "Unequal lengths".Note: Please map your input and output layout according to the visible sample test cases.Sample Test CasesTest Case 1:Expected Output:list1:·10,20,30list2:·4,5,8[6,·15,·22]Test Case 2:Expected Output:list1:·15,45,65,85,96list2:·20,25,32,65,45,68,69,45Unequal·lengths
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.