
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
Three squares, $ABCD$, $EFGH$, and $GHIJ$, each with side length 2, are positioned such that $AB$ is adjacent to $EF$, and $GH$ is adjacent to $IJ$. Point $C$ is the midpoint of side $HI$, and point $D$ is the midpoint of side $EF$. Determine the ratio of the area of the shaded pentagon $AJICB$ to the sum of the areas of the three squares.

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