
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
Each letter of the alphabet is assigned a value $(A=1, B=2, C=3, ..., Z=26)$. A five-letter word's value is the product of the values of its letters. Calculate the product for the word 'HELLO'. Determine if any other five-letter word shares the same product, with the condition that at least one letter is different but the product remains the same. List the result in alphabetical order.

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