
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
Arrange the numbers 1, 2, 3, 4, 5, 6 in the form of rows where the first row contains 1 number, the second row contains 2 numbers, and the third row contains 3 numbers, randomly. Let $N_i$ ($i=1,2,3$) denote the largest number in the $i$-th row, then the number of all permutations satisfying $N_1<N_2<N_3$ is _______ (answer in numerals).

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