
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 alphametic \( W E \times E Y E = S C E N E \), each different letter stands for a different digit, and no word begins with a 0. The \( W \) in this problem has the same value as the \( W \) in problem 31. Find \( S \).

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