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A number-arranging machine rearranges its input in steps. In each step it moves the smallest remaining number to the left and the largest remaining number to the right of the still-unarranged middle, which keeps its order; it stops when the numbers are fully sorted in ascending order. Input: 55 31 74 28 66 19. What is Step I?

Competition practiceInput-Output
  • A19 55 31 28 66 74
  • B19 28 55 31 66 74
  • C19 55 31 28 74 66
  • D74 55 31 28 66 19

Step-by-Step Solution

The smallest number 19 moves to the far left and the largest 74 to the far right, with 55 31 28 66 kept in order between them.
Answer: A) 19 55 31 28 66 74

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