
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
Let the set $M=\{x|m\leqslant x\leqslant m+ \frac {2}{3}\}$, and the set $N=\{x|n- \frac {3}{4}\leqslant x\leqslant n\}$, and both $M$ and $N$ are subsets of the set $\{x|0\leqslant x\leqslant 1\}$. Determine the minimum value of the "length" of the set $M\cap N$.

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