title: Coin Game Winner Every Player Three Choices
signature: def coin_game_winner_every_player_three_choices(x, y, n):
test_code: import array
  import bisect
  import collections
  import datetime
  import functools
  import heapq
  import itertools
  import math
  import queue
  import re
  import string
  import sys
  from typing import Any, Dict, List, Optional, Set
  
  
  # SOLUTION CODE
  # ============================================
  PLACEHOLDER_CODE_BODY
  
  # TESTING CODE 
  # ============================================
  def validate_solution(actual, expected):
      return actual == expected
  
  def driver(x, y, n, expected):
      try:
          if validate_solution(PLACEHOLDER_FN_NAME(
              x, y, n),
              expected
          ):
              return "PASSED"
          return "FAILED"
      except Exception as exception_obj:
          return type(exception_obj).__name__
      
  if __name__ == "__main__":
      result = driver(6, 27, 51, False)
      print(f"TEST-0...{result}")
  
      result = driver(32, 88, 69, True)
      print(f"TEST-1...{result}")
  
      result = driver(99, 18, 48, False)
      print(f"TEST-2...{result}")
  
      result = driver(22, 1, 74, True)
      print(f"TEST-3...{result}")
  
      result = driver(26, 78, 95, False)
      print(f"TEST-4...{result}")
  
      result = driver(67, 51, 27, True)
      print(f"TEST-5...{result}")
  
      result = driver(69, 57, 91, True)
      print(f"TEST-6...{result}")
  
      result = driver(39, 8, 9, False)
      print(f"TEST-7...{result}")
  
      result = driver(7, 82, 41, True)
      print(f"TEST-8...{result}")
  
      result = driver(91, 56, 7, True)
      print(f"TEST-9...{result}")
  
      sys.exit(0)
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 ];
  }