
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
A product has a total of 100 items, with the number of first, second, third, and fourth grade items in the ratio of 4:3:2:1. Using stratified sampling to draw a sample, if 8 items are taken from the first grade items, and a and b items are respectively taken from the third and fourth grade items, then the shortest distance from the origin to any point on the line $ax+by+8=0$ is ______.

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