Write a program that takes a graph representing a map between cities and use Dijkstra's Algorithm to find the shortest path given a start and an end vertex. in java
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- Java Only Solution: John's barn has a fence consisting of N consecutive sections numbered from left to right from 1 to N. Each part is first painted in one of two colors: red or green, your information is given with string C. The color of the I-th part Ci will be equal to 'R' if the color of the part is red and 'G' if it is green. John decided to paint the whole fence green. To make the normal drawing process more fun he decided to do it using the following process. Every minute (until the whole fence is painted green) you will do the following steps: Select any part of the phone that is painted red. Let's show the index of this section as X. In each section with references X, X + 1, ..., min (N, X + K - 1), flip the color of the corresponding part from red to green and from green to red by re-painting. John wonders how quickly he can paint the phone. Please help her find the minimum number of minutes needed to repaint. Input: 1 73 RGGRGRG Output: 4Student: Michael Reyes 2. Write a Java program that would resemble a payroll system. An input window that will accept the employee number and the number of days of rendered work. A 2d-ArrayList that contains the employee number and the rate per day is to be searched and used to compute the gross salary. Gross salary is computed by multiplying the number of days of rendered work by the rate per day of the particular employee. If the gross salary computed is greater than 100,000 the tax is 20% of the gross salary, otherwise, the tax is 10%. Deduct the tax from the gross salary to get the net pay. Display the employee number, gross salary, tax deduction, and net pay in an output window. Design your own input/output windows. (USE OOP CONCEPT JFRAME)Application "networkx" library is used for implementing graphs. Draw a graph using this library in python. (Hint: use 'add_node()", 'add_edge()' functions to draw edges and nodes). Construct the graph shown in figure using python language. Also, plot the graph using matplotlib library, Traverse the graph using DFS, and output the DFS order. 2
- Solution IN JAVA A quadratic equation a x² + b x + c = 0 has either 0, 1, or 2 distinct solutions for real values of x. Given a, b and c, you should return the number of solutions to the equation. Examples solutions (1, 0, -1) // x² - 1 = 0 has two = 2 solutions (1, 0, 0) → 1 // x² solutions (x solutions (1, 0, 1) // x² + 1 = 0 has no 0 has one solution (x = 0). = 0 ceal solutions. 1 and x -1).2. Write a Java program that would resemble a payroll system. An input window which will accept the employee number and the number of days of rendered work. A 2d-arraylist that contains the employee number and the rate per day is to be searched and used to compute for the gross salary. Gross salary is computed by multiplying the number of days of rendered work by rate per day of the particular employee. If the gross salary computed is greater than 100,000 the tax is 20% of the gross salary, otherwise, the tax is 10%. Deduct the tax from the gross salary to get the net pay. Display the employee number, gross salary, tax deduction, and the net pay in an output window. Design your own input/output windows.Given the shortest side of a 30° by 60° by 90° triangle, find out the other two sides. Return the longest side and medium-length side in that order. JAVA Examples otherSides (1) otherSides (12) otherSides (2) otherSides (3) [2.0, 1.73] [24.0, 20.0] [4.0, 3.46] [6.0, 5.2]
- You are competing in a hedge race The maze is described as a graph with a start, goal, edge lengths, and two types of edges: regular paths in the maze, and hedges which one can crawl through. (Some parts of the maze are too thick to crawl through.) Design an algorithm which finds the shortest path to the goal, as quickly as possibleThe purpose of this project is to assess your ability to (JAVA): Implement a graph abstract data type. The getDistance method should print the distance of all connected nodes/ vertices. A graph is a set of vertices and a set of edges. Represent the vertices in your graph with an array of strings: Represent the edges in your graph as a two-dimensional array of integers. Use the distances shown in the graph pictured here.Add the following functions to your graph class: A getDistance function that takes two vertices and returns the length of the edge between them. If the vertices are not connected, the function should return the max value for an integer. A getNeighbors function that takes a single vertex and returns a list of all the vertices connected to that vertex. A print method that outputs an adjacency matrix for your graph. Write a test program for your Graph class.IN JAVA Alice and Bob are playing a board game with a deck of nine cards. For each digit between 1 to 9, there is one card with that digit on it. Alice and Bob each draw two cards after shuffling the cards, and see the digits on their own cards without revealing the digits to each other. Then Alice gives her two cards to Bob. Bob sees the digits on Alice’s cards and lays all the four cards on the table in increasing order by the digits. Cards are laid facing down. Bob tells Alice the positions of her two cards. The goal of Alice is to guess the digits on Bob’s two cards. Can Alice uniquely determine these two digits and guess them correctly? Input The input has two integers p,q (1≤p<q≤9) on the first line, giving the digits on Alice’s cards. The next line has a string containing two ‘A’s and two ‘B’s, giving the positions of Alice’s and Bob’s cards on the table. It is guaranteed that Bob correctly sorts the cards and gives the correct positions of Alice’s cards. Output If Alice can…
- 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. iThe rectangular board is given. The coordinates of the left upper corner is (x, y) = (1, 1). The chess knight is located in the cell (10, 6). You must relocate it to the cell (2, 16). The knight can move only either two cells up and one right, or one cell up and two cells right. Find the number of knight paths from (10, 6) to (2, 16). Please write in javaWrite 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.