You were shown into a great cavern. “Including yourself, there are 350 people in this cavern,” the genie said.
You looked around and said, “These don’t look like people, they look like mummies.”
“Yes they are mummies, little one. If you can’t solve my next puzzle, you may become one of them. You will join the mummies. Then you will all line up in a single line. I will go down the line and count 1, 2, 3, 4, 5, 6, and so on. Every even numbered person (or mummy) will step out of line. Whenever I reach the end of the line, I will go back to the beginning of the line and continue counting from wherever I left off. The even numbers will still step out of line. The last person or mummy left in line will get the buried treasure. You can stand anywhere you want, but choose wisely.”
The genie then shouted, “Line up,” as you worked furiously trying to figure out what position to be in. The mummies all began to shuffle into position. The genie turned to you and said, “Well, where do you wish to stand?”
What position in line is the lucky winner?