
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
For the ellipse $\dfrac {x^{2}}{25}+ \dfrac {y^{2}}{16}=1$, let its left and right foci be $F_{1}$ and $F_{2}$, respectively. The chord $AB$ passes through $F_{1}$. If the circumference of the inscribed circle of $\triangle ABF_{2}$ is $\pi$, and the coordinates of points $A$ and $B$ are $(x_{1},y_{1})$ and $(x_{2},y_{2})$, respectively, then the value of $|y_{1}-y_{2}|$ is \_\_\_\_\_\_.

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