
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
Given that the player scored 17, 22, 19, and 16 points in her first four games, her average was less than 20 points per game, and she played a total of eight games with an average of more than 21 points per game, calculate the least number of points she must have scored in the eighth game.

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