
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 (the final score for each question is an integer, with a minimum of 0 points and a maximum of 7 points). The total score of each participant is the product of their scores on the 6 questions. If two participants have the same score, then the sum of the 6 questions' scores is calculated to determine their ranking. If these are also the same, the participants are tied. In this competition, there are $8^{6}=262144$ participants with no ties. What is the total score of the participant ranked $7^{6}=117649$?

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