
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
On the board, digits are written in a row:

$$
\begin{array}{lllllllll}
1 & 1 & 1 & 2 & 2 & 2 & 5 & 5 & 5 .
\end{array}
$$

Pluses can be placed between them so that the resulting number ends with the digit one:

$$
1+1+12+2+25+5+5=51
$$

How can you place pluses so that the resulting number ends with zero? Provide an example.

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