
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
158. Alphanumeric puzzle. This puzzle is not difficult to solve with the right approach:

$$
\begin{array}{llll}
A \times B=B, & B \times C=A C, & C \times D=B C, & D \times E=C H \\
E \times F=D K, & F \times H=C J, & H \times J=K J, & J \times K=E \\
& K \times L=L, & A \times L=L .
\end{array}
$$

Each letter represents a unique digit, and $A C, B C$ etc. are two-digit numbers. Can you determine which digit corresponds to each letter?

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