
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
See all the problems from 5-th Kyiv math festival [here](http://www.mathlinks.ro/Forum/viewtopic.php?p=506789#p506789)


Triangle  $ABC$  and straight line  $l$  are given at the plane. Construct using a compass and a ruler the straightline which is parallel to  $l$  and bisects the area of triangle  $ABC.$ 

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