
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 how many different ways can the digits $0, 1, 2, \ldots, 9$ be placed into the following scheme so that a correct addition is obtained? (The leading digit in each row cannot be $0$; the answer can be given without listing all the possibilities.)

$$
\begin{array}{r}
A \\
B C \\
D E F \\
\hline C H J K
\end{array}
$$

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