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A word-and-number arrangement machine rearranges any input line in steps. In each step two shifts happen together: the largest number that has not already been shifted in an earlier step is taken out and placed at the extreme left end of the line, and at the same time 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 right end of the line. All the remaining elements keep their relative order, and the machine stops when no further shift is possible.
Input: bat corn 64 28 dew 95 ear 41.
At which step of the above arrangement does the line "41 64 95 bat 28 ear dew corn" appear?

Competition practiceInput-Output
  • AStep 3
  • BStep 4
  • CStep 2
  • DStep 1

Step-by-Step Solution

Step 1: 95 bat corn 64 28 dew 41 ear. Step 2: 64 95 bat corn 28 41 ear dew. Step 3: 41 64 95 bat 28 ear dew corn. The line quoted matches Step 3.
Answer: A) Step 3

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