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123 complete mathematical story
Legend has it that one day, Zhuge Liang summoned his soldiers and said, "Which one of you chooses an integer from 1 to 1024 and keeps it in mind. I asked ten questions, only one' yes' or' no'. After answering ten questions, I will' calculate' the number you remember in your heart. " Just after Zhuge Liang finished, a counselor stood up and said that he had chosen a number. Zhuge Liang asked, "Did you choose more than 5 12?" The counselor replied, "No." Zhuge Liang asked his advisers nine questions in succession, and all the advisers answered them one by one. Zhuge Liang finally said, "The number you remember is 1." The counselor was surprised because he really chose this number. Do you know how clever Zhuge Liang is?

In fact, the method is very simple, that is, take half of 1024, and the tenth time is "1". According to this truth, you can find the required number by asking ten questions in a row.