You and your friend has found in total 2019 gold coins in a treasure hunt. Since your friend found tothe place to dig up, he deserves a bit more gold than you so you offer a game to share the coins to him:
"We have 2019 coins, I will put as many of the coins as I want into a bag and you will see how many coins I place inside. Every time I have finished putting coins into a bag, you will (based on the number of coins in the bag) determine whether or not you want that bag. If you don't want that bag, I will take it. Then I will start putting coins into another bag and so on...
After one of us has 13 bags in total, we will stop playing the game, and the rest of the coins will be given to whomever doesn't have 13 bags."
Your friend likes the game and accept the offer. He thinks this is a fair game to share the coins.
At least how many gold coins can you guarantee to win at the end of this game?
for example: you put 50 coins in the first bag then your friend decides not to take that bag, after that you decide to put 100 coins into another bag, this time your friend decides to take that bag... etc.