
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
Masha drew a rhombus in her notebook and wrote four numbers at the vertices, the sum of which equals 2021. Then she wrote the product of the numbers at each end of the sides of the rhombus and calculated the sum of the numbers written on the sides. Katya increased all the numbers written by Masha at the vertices by 1, and then repeated what Masha did, calculating the new sum of the numbers on the sides. By how much is Katya's sum greater than Masha's?

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