
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
In a certain math competition, there are 6 questions, each worth 7 points (each question's score is an integer between 0 and 7). The total score of each participant is the product of the scores of the 6 questions. If two participants have the same total score, the sum of the scores for the 6 questions is calculated to determine the ranking. If still tied, they are considered to have the same rank. In this competition, there are $8^{6}=262144$ participants, and there are no ties. The score of the participant ranked $7^{6}=117649$ is $\qquad$ points.

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