
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
Calculate the difference between expressions 
\[ A = 1 \times 2 + 3 \times 4 + 5 \times 6 + \cdots + 47 \times 48 + 2 \times 49 \]
and 
\[ B = 1 + 2 \times 3 + 4 \times 5 + \cdots + 46 \times 47 + 48 \times 49 \]
where numbers are increased, and the last term of $A$ has an additional multiplier.

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