Pegs numbered 1 to 50 are placed in order in a line with number 1 on the left. They are then knocked over one at a time following these rules: - Of the pegs which are still standing, knock down alternate ones, starting with the first peg on the left. - Each time you reach the end of the row, repeat the previous rule. What is the number of the last peg to be knocked over?
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Junior Mathematical Olympiad 2007 (2007)
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