
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
The larger base \(AD\) of trapezoid \(ABCD\) is \(a\), and the smaller base \(BC\) is \(b\). The diagonal \(AC\) is divided into three equal parts, and through the point of division \(M\), which is closest to \(A\), a line parallel to the bases is drawn. Find the segment of this line that is enclosed between the diagonals.

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