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This problem came from http://www.mathshell.com/materials.php?item=ppn&series=tss Things to try:
  • Find some rules for the moves which will put any row of numbers in ascending order.
  • Find some rules for the moves which will put any row of numbers in ascending order in the fewest moves possible.
  • Without having any unnecessary moves, what is the most moves needed for putting the numbers in ascending order?