
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 $\boxed{\text{nth row}}$; the number of 1s in the 61st row is $\boxed{\text{number}}$.  
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