The following example demonstrates a simple implementation using 15 matches where you take turns removing 1, 2 or 3 matches. The player who removes the last match loses.
In order to ensure the computer always wins, the computer must always play first. In the example, the player always starts but unless the player knows the secret, the computer will always win.
#include<iostream>
#include<conio.h>
unsigned ask(unsigned max=3)
{
int choice = 0;
do
{
choice = getch() - '0';
if (choice<0 choice>max)
choice=0;
else
{
std::cout<<choice<<'\n'<<std::endl;
break;
}
} while (!choice);
return ((unsigned)choice);
}
bool yn()
{
int choice = 0;
bool result = false;
while(1)
{
choice = getch();
if (choice=='y' choice=='Y')
{
result = true;
break;
}
if (choice=='n' choice=='N')
{
result = false;
break;
}
}
std::cout<<(char)choice<<'\n'<<std::endl;
return (result);
}
int main()
{
unsigned start = 15;
unsigned matches = start;
bool player = true; // set to false so computer always starts
unsigned take = 0;
while (1)
{
std::cout<<"There "<<(matches==1?"is":"are")<<" "<<matches<<" match"<<(matches==1?"":"es")<<" remaining.\n"<<std::endl;
if( matches <= 1 )
{
if ((player && matches == 1) (!player && !matches))
std::cout<<"You lose!\n"<<std::endl;
else
std::cout<<"You win!\n"<<std::endl;
std::cout<<"Would you like to play again? ";
if (!yn())
break;
else
{
matches = start;
continue;
}
}
if( player ) // player's turn
{
std::cout<<"Would you like to take 1";
if( matches>2 )
{
std::cout<<", 2 or 3 matches? ";
take = ask( 3 );
}
else
{
std::cout<<"or 2 matches? ";
take = ask( 2 );
}
}
else // computer's turn
{
take = (matches-1)%4;
if( !take )
take = rand()%3+1;
std::cout<<"I will take "<<take<<" matches.\n"<<std::endl;
}
matches -= take;
player = !player; // toggle player
}
}
Correct
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Correct
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The Matchstick program below uses the following rules: - Starts with 21 matchsticks - each player must remove 1 - 4 matchsticks - The player who takes the last stick loses. The algorithm is this: To always win you must: - Let your opponent go first. - on your turn, take enough sticks that your take plus your opponent's take equal 5 sticks. This program is written in Java, and uses the above algorithm: import java.io.InputStreamReader; import java.io.BufferedReader; import java.io.InputStream; public class Matchstick { static int sticksLeft = 21; public static void main(String[] args) { String input; int humanChoice; int computerChoice; BufferedReader in = new BufferedReader(new InputStreamReader(System.in)); System.out.println("Welcome To Matchsticks\n\n" + "The Rules:\n" + " - There are 21 Matchsticks\n" + " - Each player takes 1, 2, 3, or 4 matchsticks on their turn\n" + " - The person who takes the last matchstick loses the game\n\n" + "The computer has graciously let you pick first"); do { try { System.out.print("How many sticks do you take: "); System.out.flush(); input = in.readLine(); humanChoice = Integer.parseInt(input); if (humanChoice > 4 humanChoice < 1) { System.out.println("Please choose a number between 1 and 4\n"); } else { sticksLeft = sticksLeft - humanChoice; System.out.println("You chose to remove " + humanChoice + " Matchsticks. There are " + sticksLeft + " Matchsticks Left"); computerChoice = 5 - humanChoice; sticksLeft = sticksLeft - computerChoice; System.out.println("I chose to remove " + computerChoice + " Matchsticks. There's " + sticksLeft + " Matchstick(s) Left\n"); } } catch (Exception e) { System.out.println("Please enter a numeric value\n"); } } while (sticksLeft != 1); System.out.println("You take the last Matchstick, The computer wins!"); System.exit(0); } }
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-There are 21 matchsticks.-Whoever is forced to pick up the last matchstick loses the game.So the last one is special, so it's all about how to get rid of 20 matches in pairs of turns.-The computer asks the player to pick 1, 2, 3 or 4 matchsticks.So if we reduce the total by 5 each round, the sequence will go21 16 11 6 1In effect, whatever number the user picks (n), the computer picks 5-n'''#include'''main()'''{''''''int matchsticks=21, user, computer;printf("Do not enter Invalid Numbers.\nNumbers above 4 are invalid.");printf("\nIf you do so, the computer automatically wins.");'''while (matchsticks>=1)'''{'''printf("\nNumber of matchsticks available right now is %d.", matchsticks);printf("\n\nYour Turn...\n\n\n");printf("\nPick up the matchstick(s)-- (1-4): ");scanf ("%d", &user);'''if (user>4)'''{'''printf("Invalid Selection");'''break;'''}'''computer=5-user;printf("\nComputer's Turn..\n" );printf("\nComputer chooses:%d", computer);matchsticks=matchsticks-user-computer;'''continue;'''if(matchsticks==1)'''break;'''}'''matchsticks--;printf("\nComputer Wins");'''}''''''''''''''''''''''''
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