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A word-and-number arrangement machine rearranges any input line in steps. In each step the largest number that has not already been shifted in an earlier step is taken out and placed at the extreme right end of the line. All the remaining elements keep their relative order, and the machine stops when no further shift is possible.
Input: lake 69 31 mist nook 85 52 opal.
How many steps are needed to complete the rearrangement of the above input?

Competition practiceInput-Output
  • A4
  • B5
  • C3
  • D6

Step-by-Step Solution

Each step fixes one element that the rule targets, and the last step is Step 4: lake mist nook opal 85 69 52 31. No further shift is possible after that, so 4 steps are needed.
Answer: A) 4

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