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

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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");

  }

}

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