
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 18, 15, 13, 17, and 19 points in the first five games, and 14, 20, 12, and 21 points respectively in the subsequent four games, calculate the minimum number of points she must score in the tenth game to have an average points per game greater than 17 after ten games.

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