
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
Sample 100 balls for analysis from 1000 identical balls, among which there are 50 red balls, using stratified sampling by color, determine the number of red balls that should be sampled.

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