Condition to set the little man free:

The condition on which Patrick agreed to set the little man free was that the little man had to complete all of Patrick's homework for him. Patrick was struggling with his schoolwork and was looking for someone to help him out. When the little man appeared and offered to help, Patrick saw an opportunity to have all of his homework done without any effort on his part.

Agreement between Patrick and the little man:

Patrick made a deal with the little man that he would set him free once all of his homework was completed. In return, the little man would have his freedom and be able to leave Patrick's house. The little man agreed to this condition and set to work on Patrick's homework right away.

The little man's dedication:

Despite the challenging nature of the homework, the little man worked tirelessly to complete each assignment. He used his magical powers to solve difficult math problems, write creative essays, and even draw detailed diagrams. Patrick was amazed by the little man's abilities and was grateful for his help.

Patrick's realization:

As the little man continued to work on his homework, Patrick started to feel guilty about taking advantage of him. He realized that he had been selfish in asking for help without considering the little man's own desires and needs. Patrick ultimately decided to set the little man free before all of the homework was completed, showing compassion and empathy towards his newfound friend.

In conclusion, Patrick agreed to set the little man free once all of his homework was completed, but he ultimately chose to release him early out of kindness and understanding.