
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
After studying the chapter on "Triangles," a student named Xiaohua in a math group gave the following definition: For any three-digit number $n$, if $n$ satisfies the condition that each digit is not zero, and the sum of any two digits is greater than the remaining digit, then we call this number a "stable number." Let $F(n)$ be the sum of the units digit of the "stable number" $n$, the tens digit of $n$ as the units digit, and the hundreds digit of $n$ as the tens digit. Similarly, let $Q(n)$ be the sum of the units digit of the "stable number" $n$, the tens digit of $n$ as the units digit, and the hundreds digit of $n$ as the tens digit. For example, $675$ is a "stable number," and according to the definition, $F(675) = 67 + 5 = 72$, $Q(675) = 76 + 5 = 81$. If a "stable number" $s = 100a + 101b + 30 (1 \leq a \leq 5, 1 \leq b \leq 4, a, b$ are integers), when $5F(s) + 2Q(s)$ is divisible by $11$, then the value of the "stable number" $s$ that satisfies the condition is ______.

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