
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 this phrase, $1 / 2$ of all digits are the digit 1, the proportions of the digits 2 and 5 are equal and are $1 / 5$, and the proportion of all other digits is $1 / 10$.

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