
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 that order, on line $\overline{AF}$, with each distance $AB = 1$, $BC = 2$, $CD = 1$, $DE = 2$, and $EF = 1$. Point $G$ is above line $AF$ forming a vertical line with $D$. Point $I$ lies on $\overline{GD}$ at a point where $\overline{GI} = 2\overline{ID}$, and point $J$ lies on $\overline{GF}$ such that $\overline{GJ} = \overline{JF}$. The line segments $\overline{IC}$, $\overline{JE},$ and $\overline{AG}$ are parallel. Find $IC/JE$.
- **A**) $1/2$
- **B**) $7/4$
- **C**) $3/2$
- **D**) $5/3$
- **E**) $2$

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