title: Maximum Games Played Winner
signature: maximum_games_played_winner <- function(n) {
test_code: 
  
  
  # SOLUTION CODE
  # ============================================
  PLACEHOLDER_CODE_BODY
  
  # TESTING CODE 
  # ============================================
  validate_solution <- function(actual, expected) {
      toString(actual)==toString(expected)
  }
  
  driver <- function(n, expected){
      if (validate_solution(PLACEHOLDER_FN_NAME(n), expected)){
          "PASSED"
      } else{
          "FAILED"
      }
  }
  
  main <- function() {
      cat(sprintf("TEST-0...%s\n",driver(
          73L, 
          8L
      )))
  
      cat(sprintf("TEST-1...%s\n",driver(
          28L, 
          6L
      )))
  
      cat(sprintf("TEST-2...%s\n",driver(
          33L, 
          6L
      )))
  
      cat(sprintf("TEST-3...%s\n",driver(
          23L, 
          6L
      )))
  
      cat(sprintf("TEST-4...%s\n",driver(
          84L, 
          8L
      )))
  
      cat(sprintf("TEST-5...%s\n",driver(
          31L, 
          6L
      )))
  
      cat(sprintf("TEST-6...%s\n",driver(
          48L, 
          7L
      )))
  
      cat(sprintf("TEST-7...%s\n",driver(
          46L, 
          7L
      )))
  
      cat(sprintf("TEST-8...%s\n",driver(
          45L, 
          7L
      )))
  
      cat(sprintf("TEST-9...%s\n",driver(
          90L, 
          9L
      )))
  
  }
  
  main()
source_py: def maximum_games_played_winner(N):
      dp = [0 for i in range(N)]
      dp[0] = 1
      dp[1] = 2
      i = 1
      while (dp[i] <= N):
          i = (i + 1)
          dp[i] = (dp[(i - 1)] + dp[(i - 2)])
      return (i - 1)
source_cpp: int maximum_games_played_winner(int N) {
    int dp [ N ];
    dp [ 0 ] = 1;
    dp [ 1 ] = 2;
    int i = 2;
    do {
      dp [ i ] = dp [ i - 1 ] + dp [ i - 2 ];
    }
    while ( dp [ i ++ ] <= N );
    return ( i - 2 );
  }