
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 Definition: \( A - B = \{x \mid x \in A \text{ and } x \notin B\} \). Let \( M = \{x \mid 1 \leq x \leq 2002, x \in \mathbf{N}_{+} \} \) and \( N = \{ y \mid 2 \leq y \leq 2003, y \in \mathbf{N}_{+} \} \). Calculate \( N - M \).

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