
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
Triangles $\triangle DEF$ and $\triangle D'E'F'$ are placed in the coordinate system with vertices $D(0,0)$, $E(0,10)$, $F(18,0)$, $D'(30,26)$, $E'(42,26)$, and $F'(30,12)$. Find the degree $n$ of clockwise rotation around the point $(u,v)$, such that $0<n<180$, which transforms $\triangle DEF$ to $\triangle D'E'F'$. Calculate $n+u+v$.

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