
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
Assume that the scores $X$ of the college entrance examination candidates in a certain city this year follow a normal distribution $N(500, 100^2)$. There are 2500 candidates, and based on the admission rates of previous years, it is estimated that about 1000 college entrance examination candidates will be admitted to first-tier universities this year. Estimate the admission score line for first-tier universities this year.

(Note: $\phi(0.26) \approx 0.6026$, $\phi(0.25) \approx 0.5987$)

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