The game that you developed in Lab 8 is boring and you need a break from the assignment. You decide to spice up your previous program up by morphing it into a game of Two-Dice Pig. Once again, the game is played against the computer. Game Play During each turn, the player repeatedly rolls both dice until either a 1 is rolled or the player decides to hold. If neither die shows a 1, their sum is added to the turn total. If a single 1 is rolled, the player scores nothing and the turn ends. If two 1s are rolled, the player's entire score is lost and the their turn ends. The first player to score100 or more points wins the game. An example of the basic dice game can be found here: http://cs.gettysburg.edu/projects/pig/piggame.html The only difference between the Two-Dice Pig and the basic game is the addition of the above-mentioned rules and the use of two dice instead of one. Interface The interface of the game is text-based. The game starts by prompting the player for their name with the message What is your name?. The game then greets the player by their chosen name and displays the instructions of the game: The first player that reaches 100 wins. Enter 'r' to roll the dice. -If you roll a '1', you lose all your points for the roll and your turn. -If you roll two '1's, you lose all your score and your turn. Enter 'h' to hold your points and pass the turn to the next player. Enter 'q' at any time to quit the game. Humans go first. At each turn, the game displays the current score for both players in this format and indicates the player's turn. Score: {human_player} - {human_player_score}, Computer - {computer_score} It is now {player_name} turn... where {human_player} and {human_player_score}is replaced by the player's name and score respectively i.e. your score. {player_name} is always either the player's chosen name or Computer. If it is your turn, the program prompts the player to make a decision with the message What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)?. These are the commands recognized by the program: r or R: Roll dice h or H: Player wants the game to hold the current score and pass their turn to the Computer. q or Q: Stops game and exits with the message See you again. If the player attempts to hold before rolling the dice, the program informs the player You have not rolled the dice yet. and re-prompts the player for another decision. If the player enters neither of the above commands, the game displays I don't understand... and re-prompts for another decision from the player. Note that these prompts would not happen when it is the Computer 's turn. During each turn, the program displays the result of the roll with the message: You have rolled: {dice1} {dice2} where {dice1} and {dice2} is replaced with the current value shown on each dice. When one player reaches 100 first, the game declares the winner with the message {player_name} wins! and stops. Computer The Computer will automatically continue to roll until they score at least 15 points on each roll. Once they achieve this, they will decide to hold and pass the turn to the human player. Players can change this limit by passing a positive integer via command line argument. Your program must raise a ValueError exception with the message Must be positive integer. when the argument received is less than or equals to 0. If no arguments are received or invalid arguments are received, the Computer will attempt to score 15 points at each turn i.e. the default limit is 15, and the first line of your program should print what the error was in the format <exception type>: <error message>. Example valid command line arguments: $ python3 pig_double.py 30 # Sets the limit to 30 $ python3 pig_double.py 15 # Sets the limit to 15 again. Example invalid command line arguments where the limit will default to 15: $ python3 pig_double.py 5.5 # Invalid $ python3 pig_double.py fifteen # Invalid Program Execution and Sample Run The auto-marker will only start pig_double.py. User inputs are pre-appended with #. Sample Run 1 The player's name is Pig in this example. Both Pig and Computer does not have much luck and Pig quits after playing a few rounds with Computer. $ python3 pig_double.py 30 What is your name human? #Pig Hi, Pig. The first player that reaches 100 wins. Enter 'r' to roll the dice. -If you roll a '1', you lose all your points for the roll and your turn. -If you roll two '1's, you lose all your score and your turn. Enter 'h' to hold your points and pass the turn to the next player. Enter 'q' at any time to quit the game. Humans go first. Score: Pig - 0, Computer - 0 It is now Pig turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #roll I don't understand... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 1 4 Score: Pig - 0, Computer - 0 It is now Computer turn... You have rolled: 4 4 You have rolled: 5 2 You have rolled: 2 4 You have rolled: 1 5 Score: Pig - 0, Computer - 0 It is now Pig turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h You have not rolled the dice yet. What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 3 6 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h Score: Pig - 9, Computer - 0 It is now Computer turn... You have rolled: 1 1 Score: Pig - 9, Computer - 0 It is now Pig turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 6 5 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 2 2 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h Score: Pig - 24, Computer - 0 It is now Computer turn... You have rolled: 2 2 You have rolled: 2 4 You have rolled: 4 6 You have rolled: 1 3 Score: Pig - 24, Computer - 0 It is now Pig turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 1 4 Score: Pig - 24, Computer - 0 It is now Computer turn... You have rolled: 5 6 You have rolled: 5 2 You have rolled: 1 3 Score: Pig - 24, Computer - 0 It is now Pig turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 5 4 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 3 1 Score: Pig - 24, Computer - 0 It is now Computer turn... You have rolled: 1 1 Score: Pig - 24, Computer - 0 It is now Pig turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 3 6 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #j I don't understand... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 1 1 Score: Pig - 0, Computer - 0 It is now Computer turn... You have rolled: 4 2 You have rolled: 6 3 You have rolled: 1 2 Score: Pig - 0, Computer - 0 It is now Pig turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #q See you again. Sample Run 2 The player's name is Pug in this example. Computer will continuing rolling until they achieve 25 points. Pug is the winner for this example. $ python3 pig_double.py 25 What is your name human? #Pug Hi, Pug. The first player that reaches 100 wins. Enter 'r' to roll the dice. -If you roll a '1', you lose all your points for the roll and your turn. -If you roll two '1's, you lose all your score and your turn. Enter 'h' to hold your points and pass the turn to the next player. Enter 'q' at any time to quit the game. Humans go first. Score: Pug - 0, Computer - 0 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 2 3 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 2 1 Score: Pug - 0, Computer - 0 It is now Computer turn... You have rolled: 5 6 You have rolled: 1 3 Score: Pug - 0, Computer - 0 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 3 5 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 2 6 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 4 4 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h Score: Pug - 24, Computer - 0 It is now Computer turn... You have rolled: 1 6 Score: Pug - 24, Computer - 0 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 3 1 Score: Pug - 24, Computer - 0 It is now Computer turn... You have rolled: 5 5 You have rolled: 4 6 You have rolled: 2 2 You have rolled: 6 5 Score: Pug - 24, Computer - 35 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 6 2 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 2 4 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h Score: Pug - 38, Computer - 35 It is now Computer turn... You have rolled: 5 3 You have rolled: 3 1 Score: Pug - 38, Computer - 35 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 6 4 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 6 2 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h Score: Pug - 56, Computer - 35 It is now Computer turn... You have rolled: 6 4 You have rolled: 2 1 Score: Pug - 56, Computer - 35 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 6 4 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 3 3 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h Score: Pug - 72, Computer - 35 It is now Computer turn... You have rolled: 4 1 Score: Pug - 72, Computer - 35 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 3 4 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 4 4 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h Score: Pug - 87, Computer - 35 It is now Computer turn... You have rolled: 6 1 Score: Pug - 87, Computer - 35 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 2 6 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 4 6 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h Pug wins! Sample Error Case The player's name is Pug in this example. -20 is an invalid limit to give Computer, so a ValueError message is displayed and the limit is set to a default of 15. $ python3 pig_double.py -20 ValueError: Must be a postitive integer. What is your name human? #Pug Hi, Pug. The first player that reaches 100 wins. Enter 'r' to roll the dice. -If you roll a '1', you lose all your points for the roll and your turn. -If you roll two '1's, you lose all your score and your turn. Enter 'h' to hold your points and pass the turn to the next player. Enter 'q' at any time to quit the game. Humans go first. Score: Pug - 0, Computer - 0 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 1 1 Score: Pug - 0, Computer - 0 It is now Computer turn... You have rolled: 5 5 You have rolled: 2 3 Score: Pug - 0, Computer - 15 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #q See you again. Please ensure your game is entirely runnable from the main function; do NOT have code in the global scope. Let's practice writing on paper for our in-person tests and exam. Take out a piece of paper and answer the following questions. Upload an image (in pdf) of your answers to the workspace. File size must be less than 5MB.
Question
The game that you developed in Lab 8 is boring and you need a break from the assignment. You decide to spice up your previous program up by morphing it into a game of Two-Dice Pig. Once again, the game is played against the computer.
Game Play During each turn, the player repeatedly rolls both dice until either a 1 is rolled or the player decides to hold.
If neither die shows a 1, their sum is added to the turn total.
If a single 1 is rolled, the player scores nothing and the turn ends.
If two 1s are rolled, the player's entire score is lost and the their turn ends.
The first player to score100 or more points wins the game.
An example of the basic dice game can be found here: http://cs.gettysburg.edu/projects/pig/piggame.html
The only difference between the Two-Dice Pig and the basic game is the addition of the above-mentioned rules and the use of two dice instead of one.
Interface The interface of the game is text-based. The game starts by prompting the player for their name with the message What is your name?. The game then greets the player by their chosen name and displays the instructions of the game:
The first player that reaches 100 wins. Enter 'r' to roll the dice. -If you roll a '1', you lose all your points for the roll and your turn. -If you roll two '1's, you lose all your score and your turn. Enter 'h' to hold your points and pass the turn to the next player. Enter 'q' at any time to quit the game. Humans go first.
At each turn, the game displays the current score for both players in this format and indicates the player's turn.
Score: {human_player} - {human_player_score}, Computer - {computer_score} It is now {player_name} turn... where {human_player} and {human_player_score}is replaced by the player's name and score respectively i.e. your score. {player_name} is always either the player's chosen name or Computer.
If it is your turn, the program prompts the player to make a decision with the message What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)?. These are the commands recognized by the program:
r or R: Roll dice
h or H: Player wants the game to hold the current score and pass their turn to the Computer.
q or Q: Stops game and exits with the message See you again.
If the player attempts to hold before rolling the dice, the program informs the player You have not rolled the dice yet. and re-prompts the player for another decision.
If the player enters neither of the above commands, the game displays I don't understand... and re-prompts for another decision from the player. Note that these prompts would not happen when it is the Computer 's turn.
During each turn, the program displays the result of the roll with the message: You have rolled: {dice1} {dice2} where {dice1} and {dice2} is replaced with the current value shown on each dice.
When one player reaches 100 first, the game declares the winner with the message {player_name} wins! and stops.
Computer The Computer will automatically continue to roll until they score at least 15 points on each roll. Once they achieve this, they will decide to hold and pass the turn to the human player.
Players can change this limit by passing a positive integer via command line argument. Your program must raise a ValueError exception with the message Must be positive integer. when the argument received is less than or equals to 0.
If no arguments are received or invalid arguments are received, the Computer will attempt to score 15 points at each turn i.e. the default limit is 15, and the first line of your program should print what the error was in the format <exception type>: <error message>.
Example valid command line arguments:
python3 pig_double.py 30 # Sets the limit to 30 python3 pig_double.py 15 # Sets the limit to 15 again. Example invalid command line arguments where the limit will default to 15:
python3 pig_double.py 5.5 # Invalid python3 pig_double.py fifteen # Invalid Program Execution and Sample Run The auto-marker will only start pig_double.py. User inputs are pre-appended with #.
Sample Run 1
The player's name is Pig in this example. Both Pig and Computer does not have much luck and Pig quits after playing a few rounds with Computer.
$ python3 pig_double.py 30 What is your name human? #Pig Hi, Pig. The first player that reaches 100 wins. Enter 'r' to roll the dice. -If you roll a '1', you lose all your points for the roll and your turn. -If you roll two '1's, you lose all your score and your turn. Enter 'h' to hold your points and pass the turn to the next player. Enter 'q' at any time to quit the game. Humans go first. Score: Pig - 0, Computer - 0 It is now Pig turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #roll I don't understand... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 1 4 Score: Pig - 0, Computer - 0 It is now Computer turn... You have rolled: 4 4 You have rolled: 5 2 You have rolled: 2 4 You have rolled: 1 5 Score: Pig - 0, Computer - 0 It is now Pig turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h You have not rolled the dice yet. What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 3 6 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h Score: Pig - 9, Computer - 0 It is now Computer turn... You have rolled: 1 1 Score: Pig - 9, Computer - 0 It is now Pig turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 6 5 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 2 2 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h Score: Pig - 24, Computer - 0 It is now Computer turn... You have rolled: 2 2 You have rolled: 2 4 You have rolled: 4 6 You have rolled: 1 3 Score: Pig - 24, Computer - 0 It is now Pig turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 1 4 Score: Pig - 24, Computer - 0 It is now Computer turn... You have rolled: 5 6 You have rolled: 5 2 You have rolled: 1 3 Score: Pig - 24, Computer - 0 It is now Pig turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 5 4 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 3 1 Score: Pig - 24, Computer - 0 It is now Computer turn... You have rolled: 1 1 Score: Pig - 24, Computer - 0 It is now Pig turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 3 6 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #j I don't understand... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 1 1 Score: Pig - 0, Computer - 0 It is now Computer turn... You have rolled: 4 2 You have rolled: 6 3 You have rolled: 1 2 Score: Pig - 0, Computer - 0 It is now Pig turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #q See you again.
Sample Run 2
The player's name is Pug in this example. Computer will continuing rolling until they achieve 25 points. Pug is the winner for this example.
$ python3 pig_double.py 25 What is your name human? #Pug Hi, Pug. The first player that reaches 100 wins. Enter 'r' to roll the dice. -If you roll a '1', you lose all your points for the roll and your turn. -If you roll two '1's, you lose all your score and your turn. Enter 'h' to hold your points and pass the turn to the next player. Enter 'q' at any time to quit the game. Humans go first. Score: Pug - 0, Computer - 0 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 2 3 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 2 1 Score: Pug - 0, Computer - 0 It is now Computer turn... You have rolled: 5 6 You have rolled: 1 3 Score: Pug - 0, Computer - 0 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 3 5 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 2 6 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 4 4 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h Score: Pug - 24, Computer - 0 It is now Computer turn... You have rolled: 1 6 Score: Pug - 24, Computer - 0 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 3 1 Score: Pug - 24, Computer - 0 It is now Computer turn... You have rolled: 5 5 You have rolled: 4 6 You have rolled: 2 2 You have rolled: 6 5 Score: Pug - 24, Computer - 35 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 6 2 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 2 4 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h Score: Pug - 38, Computer - 35 It is now Computer turn... You have rolled: 5 3 You have rolled: 3 1 Score: Pug - 38, Computer - 35 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 6 4 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 6 2 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h Score: Pug - 56, Computer - 35 It is now Computer turn... You have rolled: 6 4 You have rolled: 2 1 Score: Pug - 56, Computer - 35 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 6 4 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 3 3 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h Score: Pug - 72, Computer - 35 It is now Computer turn... You have rolled: 4 1 Score: Pug - 72, Computer - 35 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 3 4 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 4 4 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h Score: Pug - 87, Computer - 35 It is now Computer turn... You have rolled: 6 1 Score: Pug - 87, Computer - 35 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 2 6 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 4 6 What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #h Pug wins!
Sample Error Case
The player's name is Pug in this example. -20 is an invalid limit to give Computer, so a ValueError message is displayed and the limit is set to a default of 15.
$ python3 pig_double.py -20 ValueError: Must be a postitive integer. What is your name human? #Pug Hi, Pug. The first player that reaches 100 wins. Enter 'r' to roll the dice. -If you roll a '1', you lose all your points for the roll and your turn. -If you roll two '1's, you lose all your score and your turn. Enter 'h' to hold your points and pass the turn to the next player. Enter 'q' at any time to quit the game. Humans go first. Score: Pug - 0, Computer - 0 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #r You have rolled: 1 1 Score: Pug - 0, Computer - 0 It is now Computer turn... You have rolled: 5 5 You have rolled: 2 3 Score: Pug - 0, Computer - 15 It is now Pug turn... What do you want to do ('q' to quit game, 'r' to roll, 'h' to hold)? #q See you again.
Please ensure your game is entirely runnable from the main function; do NOT have code in the global scope.
Let's practice writing on paper for our in-person tests and exam. Take out a piece of paper and answer the following questions. Upload an image (in pdf) of your answers to the workspace. File size must be less than 5MB.
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Below is given a board game that Honey and Sunny are playing. They both start from the box showing 'start'. They throw a dice that can show a number from 1 to 6. On the basis of the number that has come on dice, the player who has thrown the dice moves that many steps in the direction as represented by arrows. The boxes on which a player reaches during the game, the numbers on those boxes are added together to get the score of that player. Player reaching box representing 'end' first wins the game. If none of them is able to reach the box representing 'end' in 6 turns, the game results in a draw. Honey has the first turn.If in his first three turns, Honey gets 2, 3 and 6 on the dice, respectively, then what would be his score after three turns?
A friend offers you a game in which you roll two 8-sided die.You get $10 if the sum of the die is 12. 48, 84, 57, 75, 66You get $6 if the sum of the die is 10. 28, 82, 37, 73, 46, 64, 55You get $3 if the sum of the die is 8. 17, 71, 26, 62, 35, 53, 44You get $1 if the sum of the die is 4. 13, 31, 22Otherwise, you pay your friend $2.Is it a fair game?
Question 2 How many conditional statements are in the throwDice() function in the pig game? 1 point 3 4 0 6
Alice and Bob are playing a board game.On their turn, a player must roll 𝑁N standard 66-sided dice, and their action will be determined by the sum of values on the top faces of the 𝑁N dice.On a certain turn of Alice, she rolls the dice and obtains the sequence of values 𝐴1,𝐴2,…,𝐴𝑁A 1 ,A 2 ,…,A N on the top faces.However, Bob isn't paying attention, allowing Alice to cheat a little!Alice can choose a die, and flip it - so the opposite face is upward.Note that these are standard 66-sided dice, so the sum of values on opposite faces is 77. That is:11 is opposite to 66.22 is opposite to 55.33 is opposite to 44.So as to not make Bob suspicious, Alice can perform this flipping operation at most 𝐾K times.What's the maximum score (i.e, sum of values of top faces of the dice) she can obtain?Input FormatThe first line of input will contain a single integer 𝑇T, denoting the number of test cases.Each test case consists of two lines of input.The first line of each test case contains two space-separated integers 𝑁N and 𝐾K — the number of dice and the number of times Alice can flip dice.The second line contains 𝑁N space-separated integers 𝐴1,𝐴2,…,𝐴𝑁A 1 ,A 2 ,…,A N — the initial values of the dice.Output FormatFor each test case, output on a new line the maximum score Alice can obtain if she flips a die at most 𝐾K times.Constraints1≤𝑇≤1051≤T≤10 5 1≤𝑁≤2⋅1051≤N≤2⋅10 5 1≤𝐾≤𝑁1≤K≤N1≤𝐴𝑖≤61≤A i ≤6The sum of 𝑁N over all test cases won't exceed 2⋅1052⋅10 5 .Sample 1:InputOutput42 13 44 23 4 4 55 31 2 3 2 16 26 5 4 3 2 1
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