You're on your way to your Grandma's house, who lives on the other side of the village. It's her birthday, and you made some cakes for her.

On the way, you have to cross seven bridges, and as it goes in, there is a troll under every bridge! Each troll insists that you pay him. Before you can cross their bridges, you have to give them half of the cakes you are carrying, but as they are generous trolls, they each give you back one whole cake.

How many cakes do you have to start your trip with to make sure that you arrive at your Grandma's house with exactly 2 cakes?

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You're on your way to your Grandma's house, who lives on the other side of the village. It's her birthday, and you made some cakes for her.

On the way, you have to cross seven bridges, and as it goes in, there is a troll under every bridge! Each troll insists that you pay him. Before you can cross their bridges, you have to give them half of the cakes you are carrying, but as they are generous trolls, they each give you back one whole cake.

How many cakes do you have to start your trip with to make sure that you arrive at your Grandma's house with exactly 2 cakes?

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