
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
There were several people standing in a square, each facing one of four objects arranged as shown in the diagram.

Each person recorded which object was in front of them, which was to their left, and which was to their right. As a result, "house" was mentioned 5 times, "fountain" - 6 times, "bench" - 7 times, "tree" - 9 times. How many people were standing in the square, and how many were facing each of the objects?

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