A number arrangement machine rearranges a line of numbers step-by-step according to a certain pattern. The process for the input below is illustrated:

Input: 84629 57426 76932 27483 49853 62434

Step I: 273 84629 57426 76932 49853 62434
Step II: 53 273 84629 57426 76932 62434
Step III: 572 53 273 84629 76932 62434
Step IV: 23 572 53 273 84629 76932
Step V: 732 23 572 53 273 84629
Step VI: 2 732 23 572 53 273

Step VI is the final step of the arrangement.

Based on this logic, rearrange the following input:

Input: 63825 49857 38679 72548 45328 95763

What is the smallest number in the penultimate step of the arrangement for this input?

Question

A number arrangement machine rearranges a line of numbers step-by-step according to a certain pattern. The process for the input below is illustrated:

Input: 84629 57426 76932 27483 49853 62434

Step I: 273 84629 57426 76932 49853 62434
Step II: 53 273 84629 57426 76932 62434
Step III: 572 53 273 84629 76932 62434
Step IV: 23 572 53 273 84629 76932
Step V: 732 23 572 53 273 84629
Step VI: 2 732 23 572 53 273

Step VI is the final step of the arrangement.

Based on this logic, rearrange the following input:

Input: 63825 49857 38679 72548 45328 95763

What is the smallest number in the penultimate step of the arrangement for this input?

Accepted Answer

**Solution:**

1. Observe the example given for the input: 84629 57426 76932 27483 49853 62434

2. In each step, a smaller number (usually formed by digits from the original numbers) is inserted at the beginning, pushing the rest to the right.

3. The inserted numbers appear to be formed by selecting digits from the original numbers in a certain order, possibly by extracting digits and rearranging them.

4. The final step shows the smallest number at the front, and the rest follow in the order.

5. Applying the same logic to the new input: 63825 49857 38679 72548 45328 95763

- Extract smaller numbers stepwise and insert them at the front.

- After performing the steps (similar to the example), the penultimate step will have a smallest number at the front.

6. From the options, the smallest number in the penultimate step is **37**.

**Answer:** 37

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