
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
In a textile factory workshop, there are $n$ ($n>7$, $n\in\mathbb{N}^*$) looms, numbered 1, 2, 3, …, $n$, and there are $n$ technicians, also numbered 1, 2, 3, …, $n$. Define the notation $a_{ij}$, where if the $i$-th technician operates the $j$-th loom, then $a_{ij}=1$, otherwise $a_{ij}=0$. If the 7th loom is operated by exactly one person, then $a_{17}+a_{27}+a_{37}+a_{47}+…+a_{n7}=$ $\boxed{1}$; if $a_{31}+a_{32}+a_{33}+a_{34}+…+a_{3n}=2$, it means $\boxed{\text{The 3rd technician operates 2 looms.}}$

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