
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 the player's points scored in the sixth through ninth games are 18, 15, 16, and 19, and her points-per-game average was higher after nine games than after the first five games, calculate the least number of points she must have scored in the tenth game.

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