
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
During a championship game, Alicia scored a school record for most points in a single game when her team scored a total of 63 points. The seven other players on her team averaged 5 points each. In addition, it was noted that Alicia scored the same amount of points in each half of the game. How many points did Alicia score in each half of the game?

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