Alice writes n distinct integers on a blackboard, and picks a positive integer K. She chen allows Bob to make moves, each of which consist of the following steps. 1. Identify two integers x and y on the blackboard which differ by at most K, i.e. |æ – y| < K. 2. Erase the smaller of the two chosen integers. Bob's task is to make moves in this way until he is no longer able to do so. Note that n some cases, Bob may be unable to make even a single move. Design an algorithm which runs in O(n log n) time and finds the longest sequence of moves. If there are several sequences of maximum length, you may find any of them.

Q: Please make a code that will convert text to Huffman mode and vice versa. Consider the following…

A: Description: The following step is a Java code for generating the Huffman code given a set of…

Q: Blackout Math is a math puzzle in which you are given an incorrect arithmetic equation. The goal of…

A: Input : Input num1 Input num2 Input operand Output : Find the value of the operation.

Q: 2. BLACKJACK: Sample two cards from a "deck of cards" (ace, 2-10, jack, queen, king). Find the total…

A: Algorithm: Set the seed for the random number generator. Create an array of strings representing…

Q: You have two positive integers an and b.    You can perform two sorts of tasks:    a=⌊ab⌋…

A: Here have to determine about the perform two sorts programming problem statement.

Q: A random walk is a random path most often represented as a random number that changes over time. In…

A: We start at origin ( y=0 ) and choose a step to move for each successive step with equal…

Q: # Exercise 1. Implement the algorithm covered in lectures that determines if an integer n is prime.…

A: The code and the output is given in step 2.

Q: Input: A set of n movies. A positive integer k. A positive integer q. A function f that takes two…

A: Answer: Given, Set of n movies, positive constant k and q  and {X,Y} ∈ n I have written algorithm…

Q: Coupon collector is a classic statistic problem with many practical applications. The problem is to…

A: Given: Coupon collector is a classic statistic problem with many practical applications. The problem…

Q: Union-Find: Maze Write a program that generates mazes of arbitrary size using the union-find…

A: Creating mazes using the union-find algorithm is an interesting problem in computer science and can…

Q: In city street grids, intersections are often defined by two integers, counting the position of…

A: We need to add the line  int distance = Math.abs(h2-h1) + Math.abs(v2-v1); in the given code to…

Q: please code in python The bisection code below finds the square root of a number. Try inputting 16…

A: Bisection Method DefinitionThe bisection division method is used to find the roots of the polynomial…

Q: Children often play a memory game in which a deck of cards containing matching pairs is used.The…

A: The objective of the question is to create a program that simulates a memory game. The game involves…

Q: A decreasing sequence of numbers is a sequence of integers where every integer in the sequence is…

A: while ( true ) {     ...     if ( Condition ) {         break;     }     ... } The above while-loop…

Q: Problem 2: Postman Harry Harry is a postman. He's got a post office with a size of n rows office…

A: Define header files &lt;iostream&gt; for operations on input and output, &lt;cstring&gt; for playing…

Q: Given a 2D board containing 'X' and 'O', capture all regions surrounded by 'X'. A region is captured…

A: Algorithm:   1. To win, play the third to get three in a row if you have two straight. 2. Block:…

Q: Write a program that will allow two users to play tic-tac-toe. The program should ask for moves…

A: Initialize the Game:Declare and initialize the game board as a 3x3 grid of characters ('1' to…

Q: A robot is initially located at position (0, 0) in a grid [−5, 5] × [−5, 5]. The robot can move…

A: Program code: //include the required header files #include &lt;iostream&gt; /* srand, rand */…

Q: For Checkpoint C you will extend Checkpoint B to do the following: 1. Track and then output a…

A: Python is a popular, general-purpose, interpreted, high-level programming language. Python is a…

Q: You are given an instance of a problem where you have an n x n grid of squares. Each square can be…

A: That rectangle's smallest quantity: They may do this with the ceil operation, who returns any…

Q: . Card Flipper: You walk into a room, and see a row of n cards. Each one has a number x; written on…

A:

Q: modify Exercise 6.57 in  a way that every time the user give the right answer , the response varies…

A: Here is the approach  : To generate the random number in c++ is very easy task .  We have to use…

Q: Each year, the government releases a list of the 10,000 most common baby names and their frequencies…

A: Here we have given code in java for the given task. You can find the solution in step 2.

Q: Q2: There are three buckets size X, Y, M (1<=X<=Y<=M). All three buckets are initially empty. Using…

A: In program first we get three values from user x y z. x&lt;=y&lt;=z so we check what is difference…

Q: Create a square grid with four rows and columns. Randomly fill in each cell with either an X or an…

A: below i have shown:

Q: on please You got one pizza with sausage that has been sliced into a few pieces. The list of…

A: The answer is given below.

Q: Start with any positive number n. If n is even divide it by 2, if n is odd multiply by 3 and add 1.…

A: We need to write a code for the given scenario. *Language used is C++.

Q: Children often play a memory game in which a deck of cards containing matching pairs is used. The…

A: SOLUTION- I have solved this problem in C++ code with comments and screenshot for easy understanding…

Q: Tiling: The precondition to the problem is that you are given three integers n, i, j, where i and j…

A: Recursive algorithm for this problem in which we place one tile yourself and then have four friends…

Q: Let’s say you’re going to invite some people to a party. You’re considering n friends, but you know…

A: Let us consider each of your friends as a node and knows as an edge. then there is a 2D array where…

Q: Given a 2D board containing 'X' and 'O', capture all regions surrounded by 'X'. A region is captured…

A: #include&lt;iostream&gt;#include &lt;fstream&gt;using namespace std;// Size of given matrix is M X…

Q: One variation on the game of nim is described in Luger. The game begins with a single pile of…

A: According to the information given:- we have to follow the instruction to perform the variation of…

Q: Sorting Jojo was given a Math assignment by his teacher. Jojo's task is to sort a number of given…

A: #include&lt;bits/stdc++.h&gt;using namespace std;int main(){    int n;    cin&gt;&gt;n;    int…

Q: Using loops of any kind, lists, sets, def, etc NOT allowed Angela loves reading books. She recently…

A: Loops A line which has been bent and doubled to form an internal closed and partially open curve…

Q: Prob 5 Given a list of x objects, create a program that performs the following operation: -Get the…

A: Given a list(named X for example) of objects and two functions/methods(func1, func2) are to be…

Q: Write a recursive method expFive(n) to compute y=5^n. For instance, if n is 0, y is 1. Ifnis 3, then…

A: As the programming language is not mentioned here, we are using Python The Python code is given…

Q: 1. Both mergesort and quicksort uses divide and conquer paradigm to sort unsorted list. (a) Imagine…

A: Solution (a)The partition algorithm for quick sort : Approach: Starting from the  leftmost element…

Q: There is more than one way to calculate the value of T. One way that this can be done is by…

A: Start. Set the number of iterations to 1000. Initialize variables: num_points_in_circle and…