Please design a data structure to allow the following three operations: 1. push (insert a new number) 2. find_Kmin (return the value of the K-th smallest number without removing it). 3. pop All operations should be done in 0(log n) time or better.
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Please design a data structure to allow the following three operations:
1. push (insert a new number)
2. find_Kmin (return the value of the K-th smallest number without removing it).
3. pop
All operations should be done in 0(log n) time or better.
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- Sum of two squares def sum_of_two_squares(n): Some positive integers can be expressed as a sum of two squares of some positive integers greater than zero. For example, 74 = 49 + 25 = 72 + 52. This function should find and return a tuple of two positive integers whose squares together add up to n, or return None if the parameter n cannot be broken into a sum of two squares. To facilitate the automated testing, the returned tuple must present the larger of its two numbers first. Furthermore, if some integer can be broken down to a sum of squares in several ways, return the breakdown that maximizes the larger number. For example, the number 85 allows two such representations 72 + 62 and 92 + 22 , of which this function must return (9, 2). The technique of two approaching indices that start from the beginning and end of a sequence, respectively, and approach each other until they meet somewhere, used in the function two_summers in one of our class examples, is directly applicable to this…Sum of two squares def sum_of_two_squares(n): Some positive integers can be expressed as a sum of two squares of some positive integers greater than zero. For example, 74 = 49 + 25 = 72 + 52. This function should find and return a tuple of two positive integers whose squares together add up to n, or return None if the parameter n cannot be broken into a sum of two squares.To facilitate the automated testing, the returned tuple must present the larger of its two numbers first. Furthermore, if some integer can be broken down to a sum of squares in several ways, return the breakdown that maximizes the larger number. For example, the number 85 allows two such representations 72 + 62 and 92 + 22 , of which this function must return (9, 2).The technique of two approaching indices that start from the beginning and end of a sequence, respectively, and approach each other until they meet somewhere, used in the function two_summers in one of our class examples, is directly applicable to this…Please design a data structure to allow the following three operations: 1. push (insert a new number) 2. find_Kmin (return the value of the K-th smallest number without removing it). 3. pop All operations should be done in 0(log k) time or better. PLEASE NOTE THAT YOU'RE GIVEN 'n' ELEMENTS BUT YOUR ALGORITHMS SHOULD TAKE NO MORE THAN log k time. PLEASE REMEMBER that it's 'k' and not 'n'.
- . Convert the following pseudo code into assembly codo- (//' represents-comments). // Each element is 1 Byte long // Each element is 1 Byte long arrayl 13h, 14h, 15h, 16h array2 12h, 13h, 14h, 15h // lengthl is a Symbolic constant // length2 is a Symbolic constant // this variable is 1 byte long initialized with 30 lengthl = number of items in Arrayl. length2 = number of items in Array2 samplel = 30h sample2 = 5h. // this variable is 1 byte long 1 byte long variable maxlength = max of lengthl and length2. // maxlength is // this is a variable initialized with 0 index = 0. While ( If (arrayl [index] > array2[index] index < maxlength ){ * samplel) / (array2[index] expl = (arrayl[index] only store the quotient of the division in expl and expl is 7/16 bit long variable Sample2) else expl = 0 index = index + 1 }Brussel's choice def brussels_choice_step(n, mink, maxk): This problem is adapted from another jovial video "The Brussel's Choice" of Numberphile (a site so British that you just know there has to be a Trevor and a Colin somewhere in there) whose first five minutes you should watch to get an idea of what is going on. This function should compute and return the list of all numbers that the positive integer n can be converted to by treating it as a string and replacing some substring m of its digits with the new substring of either 2*m or m/2, the latter substitution allowed only when m is even so that dividing it by two produces an integer. This function should return the list of numbers that can be produced from n in a single step. To keep the results more manageable, we also impose an additional constraint that the number of digits in the chosen substring m must be between mink and maxk, inclusive. The returned list must contain the numbers in ascending sorted order.Median Function – In statistics, the median of a set of values is the value that lies in the middle when the values are arranged in sorted order. If the set has an even number of values, the median is the average of the two middle values. Your program should start with two arrays of integers containing the following values: Even numbered array: 17 32 45 68 99 101 67 89 22 27 Odd numbered array: 17 32 45 68 99 101 67 89 22 Using a sort function of your choice, first sort the arrays. NOTE: you may use the Standard Template Library sort function or your own sort function. Then, write a function that determines the median of a sorted array. The function should take an array of numbers and an integer indicating the size of the array and return the median of the values in the array. The same function should be called twice – once for the even array and once for the odd array. Your program should also have a printArray function that can be used to print the sorted array. (It…
- a C++ program that creates a two-dimensional integer array (4x3) initialized with user given data. The program should have the following functions: • Print the sum of all values in the array. • Print the average of all the values in the array. • Take row number from user and print the sum of the values in that specified row.(use loop and no if statement) • Take column number from user and print the sum of the values in that specified column.(use loop and no if statement)def division_calculator(a, b): ''' Question 4 You are asked to write a small division calculator, where you are taking 'a' as dividend and 'b' as the divider. You will need to return both the quotient and the remainder. Your returned result should be the: "a is divided by b, with the quotient equals 'quotient' and remainder equals 'remainder'" Note: You must use f-string to do this question. Args: a (int), b (int) Returns: string >>> division_calculator(3, 1) "3 is divided by 1, with the quotient equals 3 and remainder equals 0." ''' # print(division_calculator(9, 3))In Python, grades_dict = {'Wally': [87,96,70], 'Eva': [100,87,90], 'Sam': [94,77,90], 'Katie': [100,81,82], 'Bob': [83, 65, 85]} Ask user to enter the names of the rows, i.e., indices. You can use: len(grades) to get the number of rows of the DataFrame. In addition, using the sort_index() method, ask user whether they wish to sort by rows or by columns and whether to sort in ascending or descending order (do not use any if-else statements)
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