
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
Let  $A$  denote the set of all integers  $n$  such that  $1 \le n \le 10000$ , and moreover the sum of the decimal digits of  $n$  is  $2$ . Find the sum of the squares of the elements of  $A$ .

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