
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
A triangular array of numbers is arranged as follows:  
1  
2     $2^2$  
$2^3$ $2^4$ $2^5$  
$2^6$ $2^7$ $2^8$ $2^9$  
…  
Following the pattern of arrangement above, the third number from the left in the 10th row is ____.

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