
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 natural numbers greater than or equal to 2, the following decompositions exist:  
2<sup>2</sup> = 1 + 3  
3<sup>2</sup> = 1 + 3 + 5  
4<sup>2</sup> = 1 + 3 + 5 + 7  
2<sup>3</sup> = 3 + 5  
3<sup>3</sup> = 7 + 9 + 11  
4<sup>3</sup> = 13 + 15 + 17 + 19  
According to the decomposition rule above, if $n^2 = 1 + 3 + 5 + \ldots + 19$, and the smallest number in the decomposition of $m^3$ is 43, then $m + n = \boxed{\text{ }}$.

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