
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
For the power operations of positive integers greater than or equal to $2$, there are the following decomposition methods:  
$2^{2}=1+3$  $3^{2}=1+3+5$   $4^{2}=1+3+5+7…$  
$2^{3}=3+5$  $3^{3}=7+9+11$  $4^{3}=13+15+17+19…$  
According to the decomposition pattern above, if $m^{2}=1+3+5+…+11$ and the smallest positive integer in the decomposition of $p^{3}$ is $21$, then $m+p=$ \_\_\_\_\_\_.

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