
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
In a chess tournament, eleventh-grade students and tenth-grade students participated. The eleventh-graders were ten times more numerous, and they scored 4.5 times more points than the tenth-graders. Which grade's student won the tournament, and how many points did they score? In chess, a victory gives 1 point, a draw gives 0.5 points, and a loss gives 0 points.

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