
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
Three brothers inherited 17 camels from their father. The father bequeathed half of the herd to the eldest brother, a third to the middle brother, and a ninth to the youngest. The brothers tried to divide the inheritance and found that the eldest brother would have to take 8 camels and a portion of a camel, the middle brother 5 camels and a portion, and the youngest a camel and a portion. Naturally, none of them wanted to cut camels, so they decided to ask for help from a Wise Man passing by on a camel.

The Wise Man dismounted and added his camel to the brothers' herd. From the new herd of 18 camels, the Wise Man separated half - 9 camels for the eldest brother, then a third - 6 camels for the middle brother, and finally a ninth - 2 camels for the youngest brother. After the successful division, the Wise Man mounted his camel and continued his journey. The brothers were left wondering why each of them received more camels than they were supposed to. Can you explain what happened?

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