
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
At the ball, there were princesses and knights - a total of 22 people. The first princess danced with seven knights, the second princess danced with eight knights, the third princess danced with nine knights, ..., and the last princess danced with all the knights present. How many princesses were at the ball in total?

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