Write a program that asks the user to enter the number of vertices in a directed graph and then the adjacency matrix representing the directed graph. The program, then, must display the node with the highest outdegree. Assume that nodes are named as 0, 1, 2, and s
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- Write a program that asks user to enter number of vertices in an undirected graph and then the adjacency matrix representing the undirected graph. The program, then, must display whether the given graph is connected or not.Write a program that asks user to enter number of vertices in an undirected graph and then the adjacency matrix representing the undirected graph. The program, then, must display whether the given graph is connected or not. Sample 1Enter number of vertices: 3Enter adjacency matrix:0 1 11 0 01 0 0The graph is connected.Artificial intelligence (Question - 6) ======================= One variation on the game of nim is described in Luger. The game begins with a single pile of stones. The move by a player consists of dividing a pile into two piles that contain an unequal number of stones. For example, if one pile contains six stones, it could be subdivided into piles of five and one, or four and two, but not three and three. The first player who cannot make a move loses the game.(6.1) Draw the complete game tree for this version of Nim if the start state consists of six stones.(6.2) Perform a minimax evaluation for this game. Let 1 denote a win and 0 a loss.
- Programming Language: C++ Create a pseudocode (if you not familiar with this, you can create a program) that check if "directed graph" is actually circle graph. The meaning of circle is that let's say there is 1~6 nodes. The graph start with 1 and only can move to 2, and 2 can only move to 3....etc and after you hit 6, you move back to 1. so 1=>2=>3=>4=>5=>6=>1 this is example of circle directd graph. Please create a pseudocode/program to check if graph is circle or not. Also, include the time complexity of your pseudocode by [Worst case time complexity / Best case time complexity]It is required to write a program that performs the following activities: (1) Accepts at the input a graph specified by the set of its nodes and arcs; (2) Displays the graph showing the list of nodes and the list of its arcs (3) Lists the nodes in the order of their traversal based on the deep search;Knight's Tour: The Knight's Tour is a mathematical problem involving a knight on a chessboard. The knight is placed on the empty board and, moving according to the rules of chess, must visit each square exactly once. There are several billion solutions to the problem, of which about 122,000,000 have the knight finishing on the same square on which it begins. When this occurs the tour is said to be closed. Your assignment is to write a program that gives a solution to the Knight's Tour problem recursively. You must hand in a solution in C++ AND Java. The name of the C++ file should be "main.cc" and the name of the Java file should be "Main.java". Write C++ only with a file name of main.cc Please run in IDE and check to ensure that there are no errors occuring Output should look similar to: 1 34 3 18 49 32 13 16 4 19 56 33 14 17 50 31 57 2 35 48 55 52 15 12 20 5 60 53 36 47 30 51 41 58 37 46 61 54 11 26 6 21 42 59 38 27 64 29 43 40 23 8 45 62 25 10 22 7 44 39 24 9 28 63
- Archery Scorer. Write a program that draws an archery target (see Pro-gramming Exercise 2 from Chapter 4) and allows the user to click five times to represent arrows shot at the target. Using five-band scoring, abulls-eye (yellow) is worth 9 points and each successive ring is worth 2fewer points down to 1 for white. The program should output a score foreach click and keep track of a running sum for the entire series.Broken Cabins Problem Statement: There is an Office consisting of m cabins enumerated from 1 to m. Each cabin is 1 meter long. Sadly, some cabins are broken and need to be repaired. You have an infinitely long repair tape. You want to cut some pieces from the tape and use them to cover all of the broken cabins. To be precise, a piece of tape of integer length t placed at some positions will cover segments 5,5+1-sit-1. You are allowed to cover non-broken cabins, it is also possible that some pieces of tape will overlap. Time is money, so you want to cut at most k continuous pieces of tape to cover all the broken cabins. What is the minimum total length of these pieces? Input Format The first line contains three integers n,m and k(1sns10°, namsloº, Isksn) - the number of broken cabins, the length of the stick and the maximum number of pieces you can use The second line contains n integers bl,b2,bn (Isbism) - the positions of the broken cabins. These integers are given in increasing…Celebrity problem A celebrity among a group of n people is a person who knows nobody but is known by everybody else. The task is to identify a celebrity by only asking questions to people of the form: ”Do you know him/her?” Solution Select two people from the group given, say, A and B, and ask A whether A knows B. If A knows B, remove A from the remaining people who can be a celebrity; if A doesn’t know B, remove B from this group. Solve the problem recursively for the remaining group of people who can be a celebrity Which design strategy does the following solution use? A-)Decrease-by-a-constant factor algorithm B-)Variable-size-decrease algorithm C-)Decrease-by-a-constant algorithm D-)Divide-and-Conquer
- Tiling: The precondition to the problem is that you are given threeintegers n, i, j, where i and j are in the range 1 to 2n. You have a 2n by 2n squareboard of squares. You have a sufficient number of tiles each with the shape . Your goalis to place nonoverlapping tiles on the board to cover each of the 2n × 2n tiles except forthe single square at location i, j. Give a recursive algorithm for this problem in whichyou place one tile yourself and then have four friends help you. What is your base case?The equation of a parabola can be expressed in either standard form (y = ax? + bx + c) or vertex form (y = a(x – h)² + k). Write a program that prompts the user to enter a, b, and c as integers in standard 4ac – b and k -b form and displays h 2a | in the vertex form. Display h 4a and k as rational numbers. iVolume of Histogram: Imagine a histogram (bar graph). Design an algorithm to compute the volume of water it could hold if someone poured water across the top. You can assume that each histogram bar has width 1. EXAMPLE Input: {0, 0, 4, 0, 0, 6, 0, 0, 3, 0, 5, 0, 1, 0, 0, 0} (Black bars are the histogram. Gray is water.) Output: 26 0 0 4 0 0 6 0 0 3 0 5 0 1 0 0 0