def check_coins(hand)
  hand.each_with_index do |coin,index|
    if coin != 0
      return index
    else
      nil
    end
  end
  return false
end

def wonky_coins(n)
  # you have a hand
  hand = []
  # the machine gives you 3 coins valued at n/2,n/3,n/4
  hand << n/2 << n/3 << n/4
  # you check the voins in your hand to see if any of the coins are non-zero
  while check_coins(hand)
    # check the position and value of the coin in your hand that is non-zero
    index = check_coins(hand)
    value = hand[index]
    # remove the coin from the position in your hand
    hand.delete_at(index)
    # insert that coin into the machine and retrieve 3 coins again into your hand
    hand << value/2 << value/3 << value/4
  end
  # count the number of coins in your hand
  hand.length
end