
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
Just as in Roman numerals, such as $9=\mathrm{IX}=\mathrm{X}-\mathrm{I}$, where the digit I is considered negative because it appears before a digit of greater value, it is also possible to attribute a negative sign to certain digits in Arabic numerals. This is typically expressed with a bar above the digit, e.g., $19=20-1=2 \overline{1}$ ("one less than twenty"), $263=3 \overline{4} 3=3 \overline{3} \overline{7}=1 \overline{8} 7 \overline{7}$.

How many different ways can 1969 be written in this way, using at most 6 digits?

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