
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
On a Cartesian plane, the midpoint between two points $P(p,q)$ and $Q(r,s)$ is $N(x,y)$. If $P$ is moved vertically upwards 5 units and horizontally to the right 3 units, and $Q$ is moved vertically downwards 3 units and horizontally to the left 5 units, then the new midpoint between $P$ and $Q$ is $N'$. What is the distance between $N$ and $N'$?

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