Algorithm Binary Search Input:  L = a1, a2, ... , an list of distinct integers; x integer Output: p integer i = 1; j = n; found = F; p = 0; while i ≤ j and found = F   m = ⌊i+j2⌋; if am = x then found = T and p = m             else if am < x then i = m + 1                                    else j = m - 1; return p; When performing Algorithm Binary Search with input  L = 1,3,5,7,9,11,13 and x = 9, how many times is x compared to an element ai of the list L?

Up for the count def counting_series (n): The Champernowme word 1234567891011121314151617181920212223., also known as the counting series, is an infinitely long string of digits made up of all positive integers written out in ascending order without any separators. This function should return the digit at position n of the Champernowne word. Position counting again starts from zero for us budding computer scientists. Of course, the automated tester will throw at your function values of n huge enough that those who construct the Champernowne word as an explicit string will run out of both time and space long before receiving the answer. Instead, note how the fractal structure of this infinite sequence starts with 9 single-digit numbers, followed by 90 two-digit numbers, followed by 900 three-digit numbers, and so on. This observation gifts you a pair of seven league boots that allow their wearer skip prefixes of this series in exponential leaps and bounds, instead of having to crawl…

Using recursion, write a function sum that takes a single argument n and computes the sum of all integers between 0 and n inclusive. Do not write this function using a while or for loop. Assume n is non-negative. def sum(n): """Using recursion, computes the sum of all integers between 1 and n, inclusive. Assume n is positive. >>> sum(1) 1 >>> sum(5) # 1 + 2 + 3+ 4+ 5 15 "*** YOUR CODE HERE ***"

JAVA PROGRAM ASAP *********** THIS PROGRAM MUST WORK IN HYPERGRADE AND PASS ALL THE TEST CASES. Perform algorithm time measurement for all three quadratic sorting algorithms for Best Case (already sorted), Average Case (randomly generated), and Worst Case (inverse sorted) inputs and compare them with O(N*logN) sorting algorithm using Arrays.sort() method. Use arrays sizes of 50K, 100K, and 200K to produce timing results. Ignore the message "There is an infinite loop!" that appears on HyperGrade after submitting your program. Unfortunately, HyperGrade is designed to limit the amount of time that your program is allowed to execute.