
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
Observe the following equations:  
\\(1^{2}=1\\)  
\\(3^{2}=2+3+4\\)  
\\(5^{2}=3+4+5+6+7\\)  
\\(7^{2}=4+5+6+7+8+9+10\\)  
\\(9^{2}=5+6+7+8+9+10+11+12+13\\)  
\\(…\\)  
\\(n^{2}=100+101+102+…+m\\)  
Then \\(n+m=\\) \_\_\_\_\_\_.

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