Given below are two statements: S1: If a Graph G is n colorable then it's also n+1 colorable. S2: Every Bipartite graph is 2 colorable Which of the above statement(s) is/are correct?
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Given below are two statements:
S1: If a Graph G is n colorable then it's also n+1 colorable.
S2: Every Bipartite graph is 2 colorable
Which of the above statement(s) is/are correct?
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- Computer Science Bob takes medication three times a day. In the morning at 8:00, in the afternoon at 13:00, and in the evening at 19:00. Create an enum type that maps the times Bob takes his medication.please code in python You place a pawn at the top left corner of an n-by-n chess board, labeled (0,0). For each move, you have a choice: move the pawn down a single space, or move the pawn down one space and right one space. That is, if the pawn is at position (i,j), you can move the pawn to (i+1,j) or (i+1, j+1). Ask the user for the size of a chessboard, n (integer). Find the number of different paths starting from (0,0) that the pawn could take to reach each position on the chess board. For example, there are two different paths the pawn can take to reach (2,1). Look at the diagrams below to convince yourself of this. You can see the four paths that you can take by move 2. Start -> Move 1 -> Move 2 (0,0) -> (1,0) -> (2,1) (0,0) -> (1,0) -> (2,0) (0,0) -> (1,1) -> (2,1) (0,0) -> (1,1) -> (2,2) Print the board with the number of ways to reach each square labeled as shown below. For example: Enter a board size: 4 1 0 0 0 1 1 0 0 1 2 1 0 1 3 3 1Count divisibles in range def count_divisibles_in_range(start, end, n): Let us take a breather by tackling a problem simple enough that its solution needs only a couple of conditional statements and some arithmetic, but not even one loop or anything even more fancy. The difficulty is coming up with the conditions that cover all possible cases of this problem exactly right, including all of the potentially tricksy edge and corner cases, without being off-by-one. Given three integers start, end and n so that start <= end, count how many integers between start and end, inclusive, are divisible by n. Sure, you could solve this problem with the list comprehension one-linerreturn len([x for x in range(start, end+1) if x % n == 0]) but of course the automated tester is designed so that anybody trying to solve this problem in such a blunt fashion will only find themselves running out of both time and space! Your code should have no loops at all, but use only integer arithmetic and…
- canMove(int x, int y, int destX, int destY, Side s): This method returns true if the player of color s can move the piece at coordinates (x,y) can move to coordinates (destX, destY) on the board in its current state. This means that here you do need to consider this piece’s interaction with other pieces on the board. Conditions for this method to return false are given in the code. public boolean canMove(int x, int y, int destX, int destY, Side s){ /* TODO write a method that checks if a piece at coordinates x,y can move to coordinates destX,destY Conditions for false: - Origin or destination coordinates are outside the board - Piece at origin is null - If source and destination coordinates are the same - Piece at origin is not of the same side as s - You can check this using piece.getSide() - Piece cannot move to the destination by piece movement rules - You should check this using Piece.canMove(destX,…A popular word game involves finding words from a grid of randomly generatedletters. Words must be at least three letters long and formed from adjoining letters.Letters may not be reused and it is valid to move across diagonals. As an example,consider the following 4 * 4 grid of letters: A B C DE F G HI J K LM N O P The word “FAB” is valid (letters in the upper left corner) and the word “KNIFE”is valid. The word “BABE” is not valid because the “B” may not be reused. Theword “MINE” is not valid because the “E” is not adjacent to the “N”. Write a program that uses a 4 * 4 two-dimensional array to represent the gameboard. The program should randomly select letters for the board. You may wishto select vowels with a higher probability than consonants. You may also wish toalways place a “U” next to a “Q” or to treat “QU” as a single letter. The programshould read the words from the text file words.txt (included on the website withthis book) and then use a recursive algorithm to…Ap is of type Apple, the only values that it can be assigned (or can contain) are those defined by the enumeration. For example, this assigns:ap = Apple.RedDel; Write code
- Write a program to determine which multiplication table the user wants.The program should be able to do the following:▪️Ask the user the limit he/she wants.▪️Display the results, and▪️Ask the user either to continue or to end.Hi! I get this error message with this code. Can you help me? # Write your solution here def who_won(game_board): # Initialize counters for each player's encircled area player1_area = 0 player2_area = 0 # Iterate through each square in the game board for i in range(len(game_board)): for j in range(len(game_board[i])): # Check if the square is encircled by player 1's game pieces if game_board[i][j] == 1: # Check if all four surrounding squares are also player 1's game pieces if (i > 0 and game_board[i-1][j] == 1) and (i < len(game_board)-1 and game_board[i+1][j] == 1) and (j > 0 and game_board[i][j-1] == 1) and (j < len(game_board[i])-1 and game_board[i][j+1] == 1): player1_area += 1 # Check if the square is encircled by player 2's game pieces elif game_board[i][j] == 2: # Check if all four surrounding squares are also player…1. Write a program that prompts the user to enter the length from the center of a pentagon to a verte and computes the area of the pentagon, as shown in the following figure. 5 x s? The formula for computing the area of a pentagon is Area = (€) 4 x tan Where s is the length of a side. The side can be computed using the formula s = 2r sin where r is the length from the center of a pentagon to a vertex. Round up two digits after the decimal point.
- 1. fInd the average win and lose rate of the craps game 2. Find the Mean, Median, and mode of how long a player takes until he wins and loses a game. Basically find out how long each game lasts. With mean, median, and mode. This code is for python and its for the craps game. Below is the code I have so far. import randomimport sysimport matplotlib.pyplot as pltimport pandas as pddef roll_dice():die1 = random.randrange(1, 7)die2 = random.randrange(1, 7)return (die1, die2)def display_dice(dice):die1, die2 = diceprint(f'Player rolled {die1} + {die2} = {sum(dice)}')# List that stores number of wins on every rollwinList = []# List that stores number of losses on every rolllossList = []# List that stores label indexes of horizontal bar plotylabel = []# 1# number of games of crapsn = int(input("Enter number of games: "))# Iterating 13 times# Because it is mentioned in the question that plot should have 13# horizontal bars for wins, and 13 horizontal bars for losses.for roll in…ONLY IF STATEMENTS ALLOWED!!!! NO RANGE FUNCTION, NO SETS, NO LISTS, NO LOOPS, ETC Angela loves reading books. She recently started reading an AI generated series called “Harry Trotter”. Angela is collecting books from the series at her nearest bookstore. Since the series is AI generated, the publishers have produced an infinite collection of the books where each book is identified by a unique integer. The bookstore has exactly one copy of each book. Angela wants to buy the books in the range [l,r], where l ≤ r. As an example, the range [−3,3] means that Angela wants to buy the books − 3, − 2, − 1, 0, 1, 2, and 3. Dan also loves the series (or maybe annoying Angela – who knows, really), and he manages to sneak into the bookstore very early to buy all of the books in the range [d,u], where d ≤ u. When Angela later visits, sadly she will not find those books there anymore. For example, if Angela tries to buy books [−2,3] and Dan has bought books [0,2], Angela would only receive books…