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A word-and-number arrangement machine rearranges any input line in steps. In each step the word that comes last in alphabetical order among the words not already shifted in an earlier step is taken out and placed at the extreme left end of the line. All the remaining elements keep their relative order, and the machine stops when no further shift is possible.
Input: 35 68 flame globe 79 honey 22 ice.
How many steps are needed to complete the rearrangement of the above input?

Competition practiceInput-Output
  • A5
  • B3
  • C4
  • D6

Step-by-Step Solution

Each step fixes one element that the rule targets, and the last step is Step 4: flame globe honey ice 35 68 79 22. No further shift is possible after that, so 4 steps are needed.
Answer: C) 4

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