title: Coin Game Winner Every Player Three Choices
signature: function coin_game_winner_every_player_three_choices(x, y, n)
test_code: using Printf
  
  # SOLUTION CODE
  # ============================================
  PLACEHOLDER_CODE_BODY
  
  # TESTING CODE 
  # ============================================
  function validate_solution(actual, expected)
      return actual == expected
  end
  
  function driver(x, y, n, expected)
      try
  
          if validate_solution(PLACEHOLDER_FN_NAME(x, y, n), expected)
              return "PASSED";
          end
          return "FAILED";
      catch exception_obj
          return string(Base.typename(typeof(exception_obj)).wrapper);
      end
  end
  
  function main()
      
      result = driver(6, 27, 51, false);
      @printf("TEST-0...%s\n",result);
      
      result = driver(32, 88, 69, true);
      @printf("TEST-1...%s\n",result);
      
      result = driver(99, 18, 48, false);
      @printf("TEST-2...%s\n",result);
      
      result = driver(22, 1, 74, true);
      @printf("TEST-3...%s\n",result);
      
      result = driver(26, 78, 95, false);
      @printf("TEST-4...%s\n",result);
      
      result = driver(67, 51, 27, true);
      @printf("TEST-5...%s\n",result);
      
      result = driver(69, 57, 91, true);
      @printf("TEST-6...%s\n",result);
      
      result = driver(39, 8, 9, false);
      @printf("TEST-7...%s\n",result);
      
      result = driver(7, 82, 41, true);
      @printf("TEST-8...%s\n",result);
      
      result = driver(91, 56, 7, true);
      @printf("TEST-9...%s\n",result);
      
  end
  
  main()
source_py: def coin_game_winner_every_player_three_choices(x, y, n):
      dp = [0 for i in range((n + 1))]
      dp[0] = False
      dp[1] = True
      for i in range(2, (n + 1)):
          if (((i - 1) >= 0) and (not dp[(i - 1)])):
              dp[i] = True
          elif (((i - x) >= 0) and (not dp[(i - x)])):
              dp[i] = True
          elif (((i - y) >= 0) and (not dp[(i - y)])):
              dp[i] = True
          else:
              dp[i] = False
      return dp[n]
source_cpp: bool coin_game_winner_every_player_three_choices(int x, int y, int n) {
    int dp [ n + 1 ];
    dp [ 0 ] = false;
    dp [ 1 ] = true;
    for ( int i = 2;
    i <= n;
    i ++ ) {
      if ( i - 1 >= 0 and ! dp [ i - 1 ] ) dp [ i ] = true;
      else if ( i - x >= 0 and ! dp [ i - x ] ) dp [ i ] = true;
      else if ( i - y >= 0 and ! dp [ i - y ] ) dp [ i ] = true;
      else dp [ i ] = false;
    }
    return dp [ n ];
  }