
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
Positive integers are grouped in the following way: {1}, {2,3,4}, {5,6,7,8,9}, {10,11,12,13,14,15,16}, ..., let the sum of the numbers in the nth group be $A_n$; from the cubes of natural numbers, the following arrays are formed: {0^3,1^3}, {1^3,2^3}, {2^3,3^3}, {3^3,4^3}, ..., let the difference between the latter number and the former number in the nth group be $B_n$, then $A_n + B_n =$ __________.

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