
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
Xiao Yang bought $a$ pieces of type A goods and $b$ pieces of type B goods in a store, spending a total of 213 yuan. It is known that each piece of type A goods costs 7 yuan, and each piece of type B goods costs 19 yuan. What is the maximum value of $a+b$?

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