
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 $A, B, C, D, E, F,$ and $G$ lie, in that order, on $\overline{AG}$, dividing it into six segments, each of length 1. Point $H$ is not on line $AG$. Point $I$ lies on $\overline{HD}$, and point $J$ lies on $\overline{HF}$. The line segments $\overline{IC}, \overline{JE},$ and $\overline{AH}$ are parallel. Find the ratio $IC/JE$.

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