
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
"The Nine Chapters on the Mathematical Art" is an important ancient Chinese mathematical text, which presents the following problem: "There are a good horse and a poor horse starting from Chang'an to Qi, with Qi being 1125 li away from Chang'an. The good horse travels 103 li on the first day, and its daily distance increases by 13 li. The poor horse travels 97 li on the first day, and its daily distance decreases by 0.5 li. After the good horse reaches Qi, it immediately turns back to meet the poor horse. How many days will it take for the two horses to meet?" The number of days from the start until the horses meet is ______.

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