title: Coin Game Winner Every Player Three Choices
signature: def coinGameWinnerEveryPlayerThreeChoices(x: Int, y: Int, n: Int) = {
test_code: import scala.collection.mutable.HashMap
  import scala.collection.immutable.HashSet
  
  
  // SOLUTION CODE
  // ============================================
  PLACEHOLDER_CODE_BODY
  
  
  // TESTING CODE 
  // ============================================
  def validateSolution(actual: Boolean , expected: Boolean): Boolean = {
      actual.toString == expected.toString
  }
  
  def driver(x: Int, y: Int, n: Int, expected: Boolean): String = {
      try {
          if (validateSolution(PLACEHOLDER_FN_NAME(x, y, n),expected)) {
              "PASSED"
          } else{
              "FAILED"
          }
      }catch{
          case e: Exception => {e.getClass.getName}
      }
  
  }
  object QuestionEvaluator extends App {
  
      println(s"TEST-0...${driver(
        6, 27, 51, 
        false    
      )}")   
  
  
      println(s"TEST-1...${driver(
        32, 88, 69, 
        true    
      )}")   
  
  
      println(s"TEST-2...${driver(
        99, 18, 48, 
        false    
      )}")   
  
  
      println(s"TEST-3...${driver(
        22, 1, 74, 
        true    
      )}")   
  
  
      println(s"TEST-4...${driver(
        26, 78, 95, 
        false    
      )}")   
  
  
      println(s"TEST-5...${driver(
        67, 51, 27, 
        true    
      )}")   
  
  
      println(s"TEST-6...${driver(
        69, 57, 91, 
        true    
      )}")   
  
  
      println(s"TEST-7...${driver(
        39, 8, 9, 
        false    
      )}")   
  
  
      println(s"TEST-8...${driver(
        7, 82, 41, 
        true    
      )}")   
  
  
      println(s"TEST-9...${driver(
        91, 56, 7, 
        true    
      )}")   
  
  }
  
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 ];
  }