Casimiro went for a walk one day and came to an orange grove. The oranges looked tempting, so he asked the owner for one. The owner agreed to give him an orange, but Casimiro would need to follow certain rules. He would have to pick a number of oranges and go through three gates. At each gate Casimiro would need to leave half the number of oranges he was carrying plus half of an orange, all without cutting any of the fruit.
How many oranges did Casimiro pick so that after going through the three gates, he would have the one orange he asked for?
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