
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Robin Hood took seven wealthy men captive and demanded a ransom. Each servant of the wealthy men brought a purse filled with gold, and they all lined up in front of the tent to deliver the ransom. Each servant entering the tent places the purse they brought on the table in the center of the tent. If no one has previously brought a purse of equal or greater weight, the wealthy man is released along with the servant. Otherwise, the servant is instructed to bring another purse that would be heavier than all the purses currently on the table. The servant who goes to fetch another purse moves to the end of the line. Each trip to get another purse takes the same amount of time, so the order of entering the tent does not change.

When Robin Hood released all the captives, he had: a) 28; b) 27 purses on the table. In the original queue, in what position was the servant of the wealthy man who was released last?

Present the answer in LaTex format: \boxed{Your answer}
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