There are 5 doors and 5 gate keepers (one at each door). You need to pass through the 5 doors one after the other. You have certain number of gold coins with you. To pass through every door, you need to give half the number of coins that you have to the gatekeeper and he will return back 1 coin to you. You then move on to the next gate and give half the number of coins to the next gatekeeper. He also gives you back one coin and you move one. This happens at every gate. If you cannot halve the number of coins that you have, then you have to start over. What should be the number of coins that you need to carry when you start, so that you will be able to come out of the 5th gate with 3 coins?
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Initially the person has 34 coins.
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