
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 the sum \(+1+3+9+27+81+243+729\), it is allowed to cross out any terms and change the signs of some of the remaining numbers from "+" to "-". Masha wants to obtain an expression with a value of 1 in this way, then start afresh and obtain an expression with a value of 2, then (starting again) obtain 3, and so on. What is the largest integer she can achieve in this manner without skipping any numbers?

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