
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
Points $A,B,C,D,E,$ and $F$ lie, in order, on $\overline{AF}$, dividing it into five segments where $AB = 1$, $BC = 2$, $CD = 1$, $DE = 2$, $EF = 1$. Point $G$ is not on line $AF$. Point $H$ lies on $\overline{GD}$, and point $J$ lies on $\overline{GE}$. The line segments $\overline{HB}, \overline{JD},$ and $\overline{AG}$ are parallel. Find the ratio $HB/JD$.

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