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A word-and-number arrangement machine rearranges any input line in steps. In each step the smallest 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: violet hill 64 28 cloud 95 jam 41.
How many steps are needed to complete the rearrangement of the above input?

Competition practiceInput-Output
  • A5
  • B3
  • C6
  • D4

Step-by-Step Solution

Each step fixes one element that the rule targets, and the last step is Step 4: violet hill cloud jam 28 41 64 95. No further shift is possible after that, so 4 steps are needed.
Answer: D) 4

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