
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  $N$  be the number of ordered pairs of integers  $(x, y)$  such that
\[
  4x^2 + 9y^2 \le 1000000000.
\]
Let  $a$  be the first digit of  $N$  (from the left) and let  $b$  be the second digit of  $N$ .  What is the value of  $10a + b$  ?

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