
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 in the eighth, ninth, tenth, and eleventh basketball games the player scored 18, 22, 9, and 29 points, respectively, and her points-per-game average was higher after eleven games than it was after the first seven games, and her average after twelve games is greater than 20, determine the least number of points she could have scored in the twelfth game.

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