
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
Compute the value of \( M = 101^2 + 100^2 - 99^2 - 98^2 + 97^2 + \ldots + 5^2 + 4^2 - 3^2 - 2^2 \), where the additions and subtractions alternate in pairs.

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