
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
Replace the odd numbers in Pascal's triangle with 1 and the even numbers with 0 to obtain the 0-1 triangle number table as shown. Counting from the top, the first row where all numbers are 1 is the 1st row, the second time all numbers in a row are 1 is the 3rd row, ..., the nth time all numbers in a row are 1 is the $\_\_\_$ row.  
1st row  1    1  
2nd row         1   0   1  
3rd row       1   1   1   1  
4th row     1   0   0   0   1  
5th row   1   1   0   0   1   1  
…

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