
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
Pat and Mat were digging a well. On the first day, Pat dug a hole $40 \mathrm{~cm}$ deep. On the second day, Mat continued and dug to three times the depth. On the third day, Pat dug as much as Mat did the previous day, and hit water. At that moment, the ground surface was $50 \mathrm{~cm}$ above the top of his head.

Determine how tall Pat was in centimeters.

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