
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

Vasya participated in a chess tournament and played 52 games. According to the old scoring system (1 point for a win, $\frac{1}{2}$ point for a draw, and 0 points for a loss), he scored 35 points. How many points did he score according to the new scoring system (1 point for a win, 0 points for a draw, and -1 point for a loss)?

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