
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 the following alpha-numeric puzzle, each letter represents a different non-zero digit. What are all possible values for  $b+e+h$ ?

  $ \begin{tabular}{cccc} &a&b&c  &d&e&f  + & g&h&i  \hline 1&6&6&5 \end{tabular}$ *Proposed by Eugene Chen*

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