
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
Suppose the function $f(x)$ is an odd function with a period of $4$, and its analytical expression on $[0,2]$ is $f(x)= \begin{cases} x(1-x),0\leqslant x\leqslant 1 \\ \sin \pi x,1 < x\leqslant 2\\ \end{cases}$, then $f(f( \dfrac {41}{6}))= \_\_\_\_\_\_$.

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