Same rule: If both players spend the same number of coins, player 2 gains 1 coin. Off-by-one rule: If the players do not spend the same number of coins and the positive difference between the number of coins spent by the two players is 1, player 2 is awarded 1 coin. Off-by-two rule: If the players do not spend the same number of coins and the positive difference between the number of coins spent by the two players is 2, player 1 is awarded 2 coins. The following is an example of a game played with a starting value of 10 coins and a game length of 5 rounds

Check the explanation

Explanation:

1 -

public int getPlayer2Move (int round)

{

int result = 0;

//If round is divided by 3

if (round%3 = = 0) {

result = 3;

}

//if round is not divided by 3 and is divided by 2

else if (round%3! = 0 && round%2 = = 0) {

result = 2;

}

//if round is not divided by 3 or 2

else {

result = 1;

}

return result;

}

2-

public void playGame ()

{

//Initializing player 1 coins

int player1Coins = startingCoins;

//Initializing player 2 coins

int player2Coins = startingCoins;

for (int round = 1; round < = maxRounds; round++) {

//if the player 1 or player 2 coins are less than 3

if (player1Coins < 3 || player2Coins < 3) {

break;

}

//The number of coins player 1 spends

int player1Spends = getPlayer1Move ();

//The number of coins player 2 spends

int player2Spends = getPlayer2Move (round);

//Remaining coins of player 1

player1Coins - = player1Spends;

//Remaining coins of player 2

player2Coins - = player2Spends;

//If player 2 spends the same number of coins as player 2 spends

if (player1Spends = = player2Spends) {

player2Coins + = 1;

continue;

}

//positive difference between the number of coins spent by the two players

int difference = Math. abs (player1Spends - player2Spends);

//if difference is 1

if (difference = = 1) {

player2Coins + = 1;

continue;

}

//If difference is 2

if (difference = = 2) {

player1Coins + = 2;

continue;

}

}

/ / At the end of the game

//If player 1 coins is equal to player two coins

if (player1Coins = = player2Coins) {

System. out. println ("tie game");

}

//If player 1 coins are greater than player 2 coins

else if (player1Coins > player2Coins) {

System. out. println ("player 1 wins");

}

//If player 2 coins is grater than player 2 coins

else if (player1Coins < player2Coins) {

System. out. println ("player 2 wins");

}

}