
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
Dr. Strange finds a box with a four-digit combination lock in the mystical library. Beside the lock is a haunting script: "CAST ACTS CATS: TACT. SWIFT CHATS."
Dr. Strange deduces, "The message 'CAST ACTS CATS = TACT' seems to suggest a sum with a mystical touch, and 'SWIFT CHATS' implies an operational twist in a unique numeric base."

Upon decoding, Dr. Strange inputs the number equivalent to 'CAST' in decimal. What was the combination?

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