
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
Among the following conclusions, the correct conclusion numbers are. (Please fill in the numbers of all correct conclusions)  
① A quadrilateral with a pair of opposite sides and a pair of opposite angles equal is a parallelogram;  
② A quadrilateral whose diagonals bisect each other's interior angles in pairs and are parallel is a parallelogram;  
③ A quadrilateral where the distance between the midpoints of one pair of opposite sides equals half the sum of the lengths of the other pair of opposite sides is a parallelogram;  
④ A quadrilateral whose diagonals both bisect the area of the quadrilateral is a parallelogram.

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