
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
Given the ellipse $\dfrac {x^{2}}{16}+ \dfrac {y^{2}}{12}=1$, its left and right foci are $F\_{1}$ and $F\_{2}$ respectively. $M$ is a point on the ellipse, and $N$ is the midpoint of $MF\_{1}$. If $ON=1$, then the length of $MF\_{1}$ equals $\_\_\_\_\_\_$.

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