
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
$T_1 = \{(x,y) | \log_{10}(3 + x^2 + y^2) \leq 3 + \log_{10}(x + y)\}$,
and
$T_2 = \{(x,y) | \log_{10}(4 + x^2 + y^2) \leq 4 + \log_{10}(x + y)\}$.
Determine the ratio of the area of $T_2$ to the area of $T_1$.
A) 98
B) 99
C) 100
D) 101
E) 102

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