
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 natural number $m$ greater than or equal to $2$, the $n^{th}$ power of $m$ has the following decomposition formula: $2^{2}=1+3$, $3^{2}=1+3+5$, $4^{2}=1+3+5+7$; $2^{3}=3+5$, $3^{3}=7+9+11$, $4^{3}=13+15+17+19$. According to the decomposition rule, $5^{2}=1+3+5+7+9$, then the largest number in the decomposition of $5^{3}$ is $\_\_\_\_\_\_\_\_\_\_$.

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